The generator matrix

 1  0  0  1  1  1  1  1  0 2a+2 2a+2  1  1  1  1  1 2a+2  1  0  1  1  1  1  1 2a  1  1  1  1  1  1  2  1  1
 0  1  0  1 2a+2 3a+2 2a+3 3a+3  1  1  1  a a+1  0  2  a  1 a+3  1  2 a+1 2a+2 2a+3 3a+2  1  2 2a+1 2a+1 2a+1  0 a+2  1 a+3  3
 0  0  1 3a+3  1 3a+1  a 2a+1  a  1 a+3 3a  2  a 3a+3 2a+2 3a+1 2a 2a+2 2a+1 3a+2  2 3a+2  1 2a+2 a+1 a+1 a+3 a+2 a+1 a+2 3a+3  1 3a
 0  0  0  2  0  2  2  0  2 2a+2  2  2  0 2a+2  0 2a+2  0 2a 2a 2a  2 2a  0 2a  2  2  0 2a 2a+2 2a 2a 2a+2  2  0

generates a code of length 34 over GR(16,4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+456x^92+252x^93+408x^94+540x^95+1305x^96+576x^97+672x^98+708x^99+1767x^100+900x^101+864x^102+972x^103+1899x^104+924x^105+768x^106+684x^107+1329x^108+336x^109+360x^110+168x^111+384x^112+84x^113+21x^116+3x^120+3x^124

The gray image is a code over GF(4) with n=136, k=7 and d=92.
This code was found by Heurico 1.16 in 0.453 seconds.