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

generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+66x^116+48x^117+75x^120+288x^121+51x^124+432x^125+27x^128+12x^132+6x^136+6x^140+6x^148+3x^152+3x^156

The gray image is a code over GF(4) with n=164, k=5 and d=116.
This code was found by Heurico 1.16 in 0.016 seconds.