The generator matrix

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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+216x^106+444x^107+141x^108+1596x^110+1008x^111+213x^112+2304x^114+1680x^115+225x^116+2088x^118+1464x^119+228x^120+2184x^122+1140x^123+147x^124+828x^126+408x^127+51x^128+3x^132+12x^140+3x^144

The gray image is a code over GF(4) with n=156, k=7 and d=106.
This code was found by Heurico 1.16 in 0.531 seconds.