The generator matrix

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

generates a code of length 36 over GR(16,4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+123x^88+291x^92+468x^96+192x^97+402x^100+1152x^101+498x^104+3072x^105+531x^108+4992x^109+450x^112+2880x^113+531x^116+399x^120+234x^124+141x^128+27x^132

The gray image is a code over GF(4) with n=144, k=7 and d=88.
This code was found by Heurico 1.16 in 1.39 seconds.