The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+54x^75+69x^76+70x^77+57x^78+38x^79+49x^80+36x^81+25x^82+16x^83+23x^84+12x^85+9x^86+10x^87+8x^88+4x^89+3x^90+4x^91+8x^92+2x^93+2x^95+1x^96+2x^97+2x^99+2x^102+2x^103+1x^104+2x^105

The gray image is a code over GF(2) with n=160, k=9 and d=75.
This code was found by an older version of Heurico in 0 seconds.