The generator matrix

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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+27x^108+48x^111+78x^112+288x^115+57x^116+432x^119+54x^120+3x^124+18x^128+6x^132+9x^144+3x^148

The gray image is a code over GF(4) with n=156, k=5 and d=108.
This code was found by Heurico 1.16 in 0.015 seconds.