Context : Solar twins are increasingly the subject of many studies owing to their wide range of applications from testing stellar evolution models to the calibration of fundamental observables ; these stars are also of interest because high precision abundances could be achieved that are key to investigating the chemical anomalies imprinted by planet formation . Furthermore , the advent of photometric surveys with large telescopes motivates the identification of faint solar twins in order to set the zero point of fundamental calibrations . Aims : We intend to perform a detailed line-by-line differential analysis to verify whether 2MASS J23263267-0239363 ( designated here as Inti 1 ) is indeed a solar twin . Methods : We determine the atmospheric parameters and differential abundances using high-resolution ( R \approx 50000 ) , high signal-to-noise ( S/N \approx 110 - 240 per pixel ) Keck HIRES spectra for our solar twin candidate , the previously known solar twin HD 45184 , and the Sun ( using reflected light from the asteroid Vesta ) . Results : For the bright solar twin HD 45184 , we found T _ { eff } = 5864 \pm 9 K , log g = 4.45 \pm 0.03 dex , v _ { t } = 1.11 \pm 0.02 { km { s } } ^ { -1 } , and [ Fe/H ] = 0.04 \pm 0.01 dex , which are in good agreement with previous works . Our abundances are in excellent agreement with the recent high-precision work by with an element-to-element scatter of only 0.01 dex . The star Inti 1 has atmospheric parameters T _ { eff } = 5837 \pm 11 K , log g = 4.42 \pm 0.03 dex , v _ { t } = 1.04 \pm 0.02 { km { s } } ^ { -1 } , and [ Fe/H ] = 0.07 \pm 0.01 dex that are higher than solar . The age and mass of the solar twin HD 45184 ( 3 Gyr and 1.05 { M _ { \odot } } ) and the faint solar twin Inti 1 ( 4 Gyr and 1.04 { M _ { \odot } } ) were estimated using isochrones . The differential analysis shows that HD 45184 presents an abundance pattern that is similar to typical nearby solar twins ; this means this star has an enhanced refractory relative to volatile elements , while Inti 1 has an abundance pattern closer to solar , albeit somewhat enhanced in refractories . The abundance pattern of HD 45184 and Inti 1 could be reproduced by adding \approx 3.5 { M _ { \oplus } } and \approx 1.5 { M _ { \oplus } } of Earth-like material to the convective zone of the Sun . Conclusions : The star Inti 1 is a faint solar twin , therefore , it could be used to calibrate the zero points of different photometric systems . The distant solar twin Inti 1 has an abundance pattern similar to the Sun with only a minor enhancement in the refractory elements . It would be important to analyze other distant solar twins to verify whether they share the Sun ’ s abundance pattern or if they are enhanced in refractories , as is the case in the majority of nearby solar twins .