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

generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 239.

Homogenous weight enumerator: w(x)=1x^0+816x^239+372x^240+1152x^243+264x^244+336x^247+180x^248+336x^255+75x^256+384x^259+120x^260+48x^263+12x^264

The gray image is a code over GF(4) with n=328, k=6 and d=239.
This code was found by Heurico 1.16 in 9.7 seconds.