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

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

Homogenous weight enumerator: w(x)=1x^0+237x^80+378x^82+481x^84+472x^86+417x^88+452x^90+359x^92+340x^94+289x^96+224x^98+169x^100+134x^102+79x^104+42x^106+15x^108+6x^110+1x^112

The gray image is a code over GF(2) with n=180, k=12 and d=80.
This code was found by Heurico 1.16 in 57.5 seconds.