The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+765x^88+255x^96+3x^120

The gray image is a code over GF(4) with n=120, k=5 and d=88.
This code was found by Heurico 1.16 in 0.015 seconds.