The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+85x^64+124x^65+309x^66+400x^67+701x^68+878x^69+1212x^70+1312x^71+1595x^72+1896x^73+2311x^74+2534x^75+2879x^76+3302x^77+3433x^78+3794x^79+3710x^80+3990x^81+3757x^82+4028x^83+3615x^84+3404x^85+3135x^86+2652x^87+2393x^88+2004x^89+1584x^90+1262x^91+1039x^92+614x^93+526x^94+330x^95+292x^96+146x^97+92x^98+64x^99+60x^100+26x^101+21x^102+8x^103+10x^104+3x^106+2x^108+2x^112+1x^126

The gray image is a code over GF(2) with n=162, k=16 and d=64.
This code was found by Heurico 1.10 in 287 seconds.