The generator matrix

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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+28x^66+84x^67+132x^68+150x^69+167x^70+148x^71+124x^72+150x^73+122x^74+88x^75+100x^76+116x^77+78x^78+74x^79+85x^80+68x^81+68x^82+54x^83+46x^84+42x^85+37x^86+26x^87+18x^88+14x^89+10x^90+6x^91+6x^92+4x^93+2x^94

The gray image is a code over GF(2) with n=150, k=11 and d=66.
This code was found by Heurico 1.10 in 0.25 seconds.