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

generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+231x^112+1170x^116+2124x^120+4290x^124+4818x^128+3036x^132+555x^136+63x^140+45x^144+24x^148+15x^152+9x^156+3x^160

The gray image is a code over GF(4) with n=168, k=7 and d=112.
This code was found by Heurico 1.16 in 0.852 seconds.