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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+96x^112+144x^113+96x^114+207x^116+96x^117+72x^118+99x^120+144x^121+15x^124+24x^126+24x^128+6x^140

The gray image is a code over GF(4) with n=156, k=5 and d=112.
This code was found by Heurico 1.16 in 6.87e-008 seconds.