The generator matrix

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

generates a code of length 98 over Z4 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+61x^86+78x^87+119x^88+138x^89+200x^90+196x^91+218x^92+224x^93+173x^94+212x^95+218x^96+228x^97+192x^98+228x^99+178x^100+172x^101+198x^102+166x^103+147x^104+154x^105+103x^106+92x^107+86x^108+96x^109+58x^110+40x^111+33x^112+8x^113+22x^114+12x^115+19x^116+4x^117+13x^118+2x^120+3x^122+2x^124+1x^126+1x^132

The gray image is a code over GF(2) with n=196, k=12 and d=86.
This code was found by Heurico 1.16 in 4.75 seconds.