The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+217x^64+169x^68+66x^72+31x^76+14x^80+7x^84+6x^88+1x^92

The gray image is a code over GF(2) with n=136, k=9 and d=64.
This code was found by Heurico 1.16 in 76.9 seconds.