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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+43x^64+92x^65+107x^66+150x^67+136x^68+142x^69+157x^70+114x^71+121x^72+124x^73+111x^74+106x^75+102x^76+94x^77+70x^78+66x^79+66x^80+52x^81+41x^82+28x^83+30x^84+34x^85+23x^86+12x^87+13x^88+4x^89+1x^90+4x^91+2x^93+2x^94

The gray image is a code over GF(2) with n=146, k=11 and d=64.
This code was found by Heurico 1.10 in 0.234 seconds.