The generator matrix

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

generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+444x^240+876x^241+936x^242+984x^243+2433x^244+3060x^245+2724x^246+2340x^247+5277x^248+6204x^249+4980x^250+3864x^251+7863x^252+8832x^253+7956x^254+5868x^255+11418x^256+11616x^257+10032x^258+7548x^259+13704x^260+15264x^261+12036x^262+8172x^263+14499x^264+14292x^265+10320x^266+7416x^267+11547x^268+11808x^269+7740x^270+4740x^271+6828x^272+5484x^273+3720x^274+1572x^275+2928x^276+2028x^277+840x^278+480x^279+768x^280+408x^281+156x^282+24x^283+51x^284+33x^288+9x^292+6x^296+9x^300+6x^304

The gray image is a code over GF(4) with n=348, k=9 and d=240.
This code was found by Heurico 1.16 in 360 seconds.