The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+105x^80+162x^81+325x^82+396x^83+555x^84+708x^85+802x^86+1016x^87+1026x^88+1204x^89+1295x^90+1290x^91+1577x^92+1592x^93+1600x^94+1746x^95+1791x^96+1844x^97+1678x^98+1572x^99+1525x^100+1564x^101+1385x^102+1252x^103+992x^104+848x^105+761x^106+594x^107+493x^108+324x^109+285x^110+162x^111+114x^112+70x^113+53x^114+36x^115+10x^116+4x^117+7x^118+2x^120+1x^128+1x^158

The gray image is a code over GF(2) with n=192, k=15 and d=80.
This code was found by Heurico 1.10 in 194 seconds.