The generator matrix

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

generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+240x^108+360x^109+72x^110+480x^111+1500x^112+1644x^113+348x^114+1440x^115+3381x^116+3252x^117+576x^118+2880x^119+5334x^120+4728x^121+552x^122+4800x^123+6801x^124+6048x^125+888x^126+4320x^127+5961x^128+4140x^129+540x^130+1440x^131+2091x^132+1284x^133+96x^134+195x^136+48x^137+51x^140+27x^144+12x^148+3x^152+3x^160

The gray image is a code over GF(4) with n=164, k=8 and d=108.
This code was found by Heurico 1.16 in 10.9 seconds.