The generator matrix

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

generates a code of length 78 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+67x^64+42x^65+110x^66+128x^67+194x^68+222x^69+311x^70+298x^71+349x^72+348x^73+408x^74+486x^75+444x^76+556x^77+416x^78+502x^79+392x^80+452x^81+426x^82+372x^83+337x^84+318x^85+251x^86+206x^87+177x^88+100x^89+89x^90+54x^91+62x^92+8x^93+26x^94+2x^95+18x^96+2x^97+6x^98+3x^100+4x^102+4x^104+1x^106

The gray image is a code over GF(2) with n=156, k=13 and d=64.
This code was found by Heurico 1.16 in 13.7 seconds.