The generator matrix

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

generates a code of length 40 over GR(16,4) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+60x^104+84x^105+132x^106+576x^107+708x^108+984x^109+720x^110+1920x^111+2073x^112+1800x^113+1152x^114+3600x^115+3558x^116+3132x^117+2496x^118+5376x^119+5733x^120+4356x^121+2340x^122+6048x^123+5064x^124+3888x^125+1872x^126+3456x^127+1974x^128+1056x^129+504x^130+528x^131+177x^132+60x^133+42x^136+30x^140+18x^144+15x^148+3x^152

The gray image is a code over GF(4) with n=160, k=8 and d=104.
This code was found by Heurico 1.16 in 10.6 seconds.