The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+48x^61+44x^62+64x^63+47x^64+16x^66+16x^68+16x^77+4x^78

The gray image is a code over GF(2) with n=128, k=8 and d=61.
This code was found by Heurico 1.16 in 62.6 seconds.