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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+52x^74+96x^75+91x^76+84x^77+91x^78+108x^79+65x^80+56x^81+56x^82+56x^83+45x^84+20x^85+24x^86+28x^87+29x^88+20x^89+14x^90+14x^91+14x^92+8x^93+15x^94+10x^95+9x^96+4x^97+2x^98+2x^99+2x^100+2x^102+6x^103

The gray image is a code over GF(2) with n=162, k=10 and d=74.
This code was found by Heurico 1.10 in 0.063 seconds.