The generator matrix

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

generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 239.

Homogenous weight enumerator: w(x)=1x^0+1188x^239+606x^240+4476x^243+2031x^244+6516x^247+2124x^248+8112x^251+2772x^252+8820x^255+2727x^256+8412x^259+2562x^260+6192x^263+2148x^264+3624x^267+1044x^268+1440x^271+330x^272+336x^275+39x^276+36x^279

The gray image is a code over GF(4) with n=340, k=8 and d=239.
This code was found by Heurico 1.16 in 297 seconds.