The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  2  1  1  0  0  1  1  1  1  0  2  1  1  1  1  0  1  2  1  1  1  0  1  2  1  1  1  1  1  1  0  0  1  1  1  0  2  1  2  1  1  0  1  1  1  1  1  1  1  1  1  2  0  2  1  2  0  1  0  1  1  0  1  1  0  1
 0  1  1  0  1  1  0  1  1  0  1  1  2  3  1  1  0  3  0  3  1  1  0  3  2  3  1  0  1  3  0  3  1  0  1  3  3  1  1  2  1  1  1  0  0  0  1  1  3  1  1  2  1  3  2  1  3  2  3  0  0  0  1  0  1  3  0  1  2  0  0  2  2  1  3  1  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  2  2  2  2  2  2  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  2  2  2  2  0  0  0  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2  2  0  2  0  0  2  2  0  0  0  2  2  2  0  2  0  2  0  0  2  0  2  2  2  0  0  0  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  2  0  2  0  0  2  0  0  2  2  0  2  0  0  0  2  0  0  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  2  2  0  2  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  0  0  0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  2  2  0  0  0  2  0  0  2  2  2  2  0  0  2  0  2  2  0  2  2  0  2  0  0  2  0  2  0  0  0  2  0  2  0  0  0  2  2  0  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  0  2  0  2  2  2  2  2  0  0  0  2  0  2  2  2  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2
 0  0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  2  0  0  2  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  0  2  0  0  2  0  0  0  2  0  0  0  0  2  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  2  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  2  0  2  0  0  2  2  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  2  2  2  2  2  0  2  0  0  2  2  2  0  0  2
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  2  2  2  0  0  2  0  0  2  0  0  0  0  2  2  0  0  0  0  0  2  2  0  0  2  0  2  0  0  2  2  2  0  0  0

generates a code of length 77 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+47x^62+10x^63+116x^64+54x^65+174x^66+128x^67+251x^68+230x^69+293x^70+324x^71+349x^72+436x^73+394x^74+558x^75+430x^76+560x^77+472x^78+562x^79+412x^80+526x^81+353x^82+348x^83+271x^84+198x^85+189x^86+96x^87+137x^88+40x^89+76x^90+22x^91+48x^92+4x^93+35x^94+25x^96+11x^98+8x^100+4x^102

The gray image is a code over GF(2) with n=154, k=13 and d=62.
This code was found by Heurico 1.16 in 15 seconds.