The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+117x^116+249x^120+612x^124+1428x^128+1395x^132+72x^136+93x^140+45x^144+27x^148+33x^152+9x^156+12x^160+3x^164

The gray image is a code over GF(4) with n=172, k=6 and d=116.
This code was found by Heurico 1.16 in 0.124 seconds.