The generator matrix

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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+510x^104+912x^105+852x^106+444x^107+2184x^108+1920x^109+2532x^110+960x^111+3819x^112+3612x^113+3948x^114+1452x^115+5619x^116+4812x^117+5484x^118+1860x^119+6093x^120+4452x^121+4320x^122+1224x^123+3657x^124+2436x^125+1248x^126+204x^127+624x^128+288x^129+48x^130+9x^132+9x^136+3x^140

The gray image is a code over GF(4) with n=156, k=8 and d=104.
This code was found by Heurico 1.16 in 24 seconds.