The generator matrix

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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+279x^64+535x^66+719x^68+822x^70+922x^72+932x^74+843x^76+889x^78+787x^80+618x^82+417x^84+245x^86+119x^88+46x^90+8x^92+8x^94+1x^100+1x^106

The gray image is a code over GF(2) with n=150, k=13 and d=64.
This code was found by Heurico 1.10 in 39.9 seconds.