The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+22x^76+58x^77+45x^78+38x^79+26x^80+6x^81+5x^82+8x^84+12x^85+8x^86+8x^87+2x^88+2x^90+2x^92+2x^93+3x^94+2x^95+3x^96+2x^97+1x^98

The gray image is a code over GF(2) with n=160, k=8 and d=76.
This code was found by Heurico 1.10 in 0 seconds.