The generator matrix

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

generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+288x^106+588x^107+858x^108+1188x^109+1872x^110+3024x^111+3270x^112+3576x^113+5952x^114+6492x^115+7590x^116+7512x^117+12432x^118+12804x^119+14250x^120+13596x^121+19200x^122+18036x^123+19521x^124+16020x^125+20688x^126+17160x^127+14601x^128+10416x^129+11040x^130+8388x^131+4815x^132+2928x^133+2256x^134+1092x^135+543x^136+60x^137+27x^140+33x^144+15x^148+3x^152+6x^156+3x^160

The gray image is a code over GF(4) with n=164, k=9 and d=106.
This code was found by Heurico 1.16 in 143 seconds.