The generator matrix

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

generates a code of length 34 over GR(16,4) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+84x^97+216x^98+27x^100+180x^101+192x^102+24x^104+60x^105+120x^106+9x^108+60x^109+48x^110+3x^120

The gray image is a code over GF(4) with n=136, k=5 and d=97.
This code was found by Heurico 1.16 in 0.047 seconds.