The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+36x^63+125x^64+190x^65+332x^66+406x^67+470x^68+556x^69+593x^70+656x^71+760x^72+862x^73+826x^74+920x^75+922x^76+988x^77+975x^78+960x^79+940x^80+810x^81+760x^82+672x^83+702x^84+484x^85+371x^86+352x^87+252x^88+186x^89+98x^90+80x^91+50x^92+20x^93+12x^94+12x^95+2x^96+2x^99+1x^126

The gray image is a code over GF(2) with n=154, k=14 and d=63.
This code was found by Heurico 1.10 in 17.1 seconds.