The generator matrix

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

generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 231.

Homogenous weight enumerator: w(x)=1x^0+228x^231+288x^232+1296x^235+564x^236+1572x^239+600x^240+2208x^243+708x^244+2484x^247+678x^248+2592x^251+558x^252+1356x^255+405x^256+432x^259+132x^260+120x^263+60x^264+18x^268+21x^272+21x^276+18x^280+9x^284+6x^288+3x^292+3x^300+3x^304

The gray image is a code over GF(4) with n=328, k=7 and d=231.
This code was found by Heurico 1.16 in 12 seconds.