The generator matrix

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

generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 241.

Homogenous weight enumerator: w(x)=1x^0+312x^241+348x^242+576x^243+1095x^244+1164x^245+1296x^246+1488x^247+2481x^248+2196x^249+2424x^250+1968x^251+3000x^252+2568x^253+2412x^254+2400x^255+3234x^256+3024x^257+2640x^258+2400x^259+3258x^260+2868x^261+2448x^262+2100x^263+3024x^264+2292x^265+1932x^266+1548x^267+2079x^268+1572x^269+1296x^270+996x^271+966x^272+756x^273+480x^274+276x^275+285x^276+132x^277+84x^278+72x^279+27x^280+12x^281+3x^284+3x^288

The gray image is a code over GF(4) with n=344, k=8 and d=241.
This code was found by Heurico 1.16 in 27.6 seconds.