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

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

Homogenous weight enumerator: w(x)=1x^0+1308x^239+624x^240+4284x^243+1698x^244+6744x^247+2484x^248+8388x^251+2784x^252+8148x^255+2703x^256+8052x^259+2760x^260+6696x^263+1860x^264+3900x^267+1128x^268+1368x^271+264x^272+240x^275+78x^276+24x^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 62.8 seconds.