The generator matrix

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

generates a code of length 37 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+576x^108+216x^112+132x^116+84x^120+12x^124+3x^128

The gray image is a code over GF(4) with n=148, k=5 and d=108.
This code was found by Heurico 1.16 in 6.91 seconds.