The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+243x^104+204x^106+312x^107+732x^108+312x^110+672x^111+1152x^112+696x^114+1872x^115+1797x^116+912x^118+2208x^119+1929x^120+732x^122+1080x^123+960x^124+216x^126+240x^128+36x^132+36x^136+24x^140+15x^144+3x^148

The gray image is a code over GF(4) with n=156, k=7 and d=104.
This code was found by Heurico 1.16 in 1.68 seconds.