The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+40x^65+115x^66+106x^67+73x^68+82x^69+87x^70+62x^71+42x^72+72x^73+65x^74+40x^75+22x^76+34x^77+33x^78+26x^79+15x^80+16x^81+34x^82+18x^83+5x^84+8x^85+16x^86+4x^87+2x^88+4x^89+2x^90

The gray image is a code over GF(2) with n=144, k=10 and d=65.
This code was found by Heurico 1.10 in 0.063 seconds.