The generator matrix

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

generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 244.

Homogenous weight enumerator: w(x)=1x^0+243x^244+480x^245+624x^246+672x^247+1659x^248+1596x^249+1620x^250+1632x^251+2646x^252+2784x^253+1944x^254+1932x^255+3153x^256+2964x^257+2244x^258+1968x^259+3630x^260+2916x^261+2280x^262+2160x^263+3585x^264+3240x^265+1968x^266+1656x^267+3207x^268+2232x^269+1812x^270+1320x^271+1944x^272+1512x^273+960x^274+828x^275+756x^276+552x^277+300x^278+108x^279+162x^280+144x^281+72x^282+12x^283+3x^284+12x^285+3x^292

The gray image is a code over GF(4) with n=348, k=8 and d=244.
This code was found by Heurico 1.16 in 28 seconds.