The generator matrix

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

generates a code of length 34 over GR(16,4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+291x^88+492x^89+84x^90+636x^91+1557x^92+1644x^93+312x^94+1740x^95+3561x^96+3552x^97+552x^98+3384x^99+6483x^100+5880x^101+1008x^102+5304x^103+8199x^104+6540x^105+804x^106+3660x^107+4578x^108+3036x^109+312x^110+636x^111+798x^112+360x^113+75x^116+24x^120+27x^124+6x^128

The gray image is a code over GF(4) with n=136, k=8 and d=88.
This code was found by Heurico 1.16 in 8.66 seconds.