The generator matrix

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

generates a code of length 36 over GR(16,4) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+360x^104+384x^108+180x^112+96x^116+3x^128

The gray image is a code over GF(4) with n=144, k=5 and d=104.
This code was found by Heurico 1.16 in 5.55 seconds.