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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+90x^64+26x^66+324x^68+210x^70+645x^72+506x^74+1001x^76+812x^78+1110x^80+760x^82+906x^84+538x^86+618x^88+178x^90+260x^92+40x^94+119x^96+2x^98+34x^100+9x^104+3x^108

The gray image is a code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 15.7 seconds.