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

generates a code of length 97 over Z4 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+59x^86+134x^87+172x^88+200x^89+228x^90+216x^91+226x^92+266x^93+215x^94+216x^95+214x^96+194x^97+180x^98+174x^99+166x^100+154x^101+151x^102+132x^103+130x^104+126x^105+120x^106+98x^107+74x^108+48x^109+53x^110+38x^111+35x^112+32x^113+16x^114+16x^115+6x^116+4x^117+2x^118

The gray image is a code over GF(2) with n=194, k=12 and d=86.
This code was found by Heurico 1.10 in 1.31 seconds.