The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+765x^104+648x^106+2112x^108+1020x^110+3117x^112+1260x^114+2844x^116+1092x^118+2139x^120+540x^122+756x^124+48x^126+42x^128

The gray image is a code over GF(4) with n=152, k=7 and d=104.
This code was found by Heurico 1.16 in 1.7 seconds.