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

generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+462x^240+684x^241+468x^242+1353x^244+1284x^245+684x^246+1371x^248+1140x^249+540x^250+1365x^252+1020x^253+444x^254+1086x^256+792x^257+396x^258+663x^260+564x^261+276x^262+444x^264+396x^265+228x^266+339x^268+204x^269+36x^270+81x^272+60x^273+3x^280

The gray image is a code over GF(4) with n=336, k=7 and d=240.
This code was found by Heurico 1.16 in 1.6 seconds.