The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  2  1  1  1  1  2  1  1  1 2a  1  1  1  2  1  1  2  1  2  1  1  1
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  1  2 2a+3 a+2 a+3  1  2  1 a+2 a+3  1 2a+1 a+3 a+2  1 2a+2 2a+1 2a+3  1  a a+1  0 2a+2  1 3a+2  2 3a+1
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2  0 2a+2  0 2a+2  0  2  2 2a 2a  2 2a+2  2  0 2a+2 2a+2  2 2a  2 2a 2a  2  2 2a+2  0 2a+2 2a+2  0
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2  2  0  0  2  2  2  0  0  2  2  2 2a 2a 2a  0 2a 2a  2 2a+2  0 2a+2 2a+2  2 2a+2 2a+2 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+882x^116+1122x^120+672x^124+1002x^128+399x^132+6x^140+3x^144+9x^148

The gray image is a code over GF(4) with n=164, k=6 and d=116.
This code was found by Heurico 1.16 in 30.9 seconds.