The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+47x^74+117x^76+110x^78+64x^80+57x^82+39x^84+26x^86+27x^88+6x^90+1x^92+2x^96+8x^98+3x^100+2x^102+2x^108

The gray image is a code over GF(2) with n=160, k=9 and d=74.
This code was found by Heurico 1.10 in 0.016 seconds.