The generator matrix

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

generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 246.

Homogenous weight enumerator: w(x)=1x^0+732x^246+696x^247+153x^248+1668x^250+1188x^251+207x^252+1716x^254+1344x^255+156x^256+1632x^258+936x^259+216x^260+1344x^262+708x^263+150x^264+1056x^266+564x^267+54x^268+576x^270+456x^271+45x^272+396x^274+192x^275+24x^276+96x^278+60x^279+15x^280+3x^284

The gray image is a code over GF(4) with n=344, k=7 and d=246.
This code was found by Heurico 1.16 in 4.27 seconds.