The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  0  0  2  2  2  0  0  2  2  2  2  2
 0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  2  2  2  2  0  0  0
 0  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  0  2  2  0  0  0  0  2  2  0  0  0  2  2  0  0
 0  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  0  0  0  0  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  0  2  0  2  2  0  2  0  2  0  0  2  2  2  2  2  0  0  0  0  0  2

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

Homogenous weight enumerator: w(x)=1x^0+126x^64+1x^128

The gray image is a code over GF(2) with n=128, k=7 and d=64.
This code was found by Heurico 1.16 in 0.0636 seconds.