The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+744x^239+330x^240+924x^243+315x^244+696x^247+144x^248+252x^251+96x^252+192x^255+57x^256+108x^259+51x^260+96x^263+12x^264+60x^267+12x^268+3x^276+3x^292

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 0.265 seconds.