The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+165x^64+166x^68+98x^72+57x^76+17x^80+4x^88+1x^92+3x^96

The gray image is a code over GF(2) with n=138, k=9 and d=64.
This code was found by Heurico 1.16 in 63.4 seconds.