The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+62x^73+86x^74+90x^75+93x^76+88x^77+91x^78+72x^79+66x^80+50x^81+43x^82+50x^83+19x^84+26x^85+37x^86+18x^87+29x^88+16x^89+27x^90+8x^91+12x^92+10x^93+4x^94+8x^95+4x^96+2x^97+8x^99+2x^103+2x^105

The gray image is a code over GF(2) with n=160, k=10 and d=73.
This code was found by Heurico 1.10 in 0.078 seconds.