The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^244+162x^248+12x^249+168x^252+144x^253+138x^256+648x^257+93x^260+1296x^261+117x^264+972x^265+66x^268+39x^272+33x^276+42x^280+30x^284+27x^288+12x^292+15x^296+6x^300+3x^304+3x^308+3x^316+3x^332

The gray image is a code over GF(4) with n=348, k=6 and d=244.
This code was found by Heurico 1.16 in 0.356 seconds.