The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+235x^80+360x^82+499x^84+458x^86+485x^88+428x^90+348x^92+286x^94+308x^96+212x^98+223x^100+114x^102+67x^104+56x^106+10x^108+6x^110

The gray image is a code over GF(2) with n=180, k=12 and d=80.
This code was found by Heurico 1.10 in 123 seconds.