The generator matrix

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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+52x^79+97x^80+180x^81+279x^82+304x^83+306x^84+344x^85+390x^86+418x^87+401x^88+380x^89+447x^90+416x^91+406x^92+430x^93+415x^94+376x^95+342x^96+372x^97+345x^98+288x^99+268x^100+228x^101+164x^102+138x^103+113x^104+92x^105+54x^106+48x^107+44x^108+22x^109+15x^110+8x^111+6x^112+2x^114+1x^122

The gray image is a code over GF(2) with n=184, k=13 and d=79.
This code was found by Heurico 1.10 in 5.63 seconds.