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  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  0  2  0  2  0  2  2  2  0  2  2  2  0  2  0  2  2  2  2  2  0  0
 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  2  2  2  2  2  2  0  0  2  2  0  0  2  2  2  2  0  0  0  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  0  2  0  0  2  2  0  0  2  2  0  0  2  0  2  2  2  0  0  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  2  2  2  2  2  2  0  2  2  0  2  2  0  2  0  0  0  2  0  0  0  0
 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  2  2  0  0  0  0  0  0  2  2  0  2  2  2  0  0  2  2  2  0  0  0

generates a code of length 66 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+31x^64+64x^66+31x^68+1x^132

The gray image is a code over GF(2) with n=132, k=7 and d=64.
This code was found by Heurico 1.16 in 0.0472 seconds.