The generator matrix

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

generates a code of length 38 over GR(16,4) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+39x^104+96x^105+312x^107+243x^108+360x^109+396x^111+195x^112+360x^113+348x^115+330x^116+504x^117+324x^119+171x^120+216x^121+156x^123+15x^124+12x^128+12x^132+6x^136

The gray image is a code over GF(4) with n=152, k=6 and d=104.
This code was found by Heurico 1.16 in 0.0535 seconds.