The generator matrix

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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+102x^65+153x^66+188x^67+191x^68+210x^69+278x^70+250x^71+207x^72+222x^73+257x^74+216x^75+218x^76+196x^77+214x^78+194x^79+175x^80+160x^81+155x^82+130x^83+75x^84+96x^85+66x^86+44x^87+25x^88+36x^89+27x^90+2x^91+4x^92+2x^93+2x^94

The gray image is a code over GF(2) with n=150, k=12 and d=65.
This code was found by Heurico 1.10 in 110 seconds.