The generator matrix

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

generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 252.

Homogenous weight enumerator: w(x)=1x^0+177x^252+108x^253+264x^255+930x^256+252x^257+228x^259+621x^260+192x^261+120x^263+312x^264+108x^265+48x^267+183x^268+36x^269+48x^271+171x^272+24x^273+24x^275+63x^276+24x^277+24x^279+84x^280+24x^281+12x^283+12x^284+3x^288+3x^304

The gray image is a code over GF(4) with n=348, k=6 and d=252.
This code was found by Heurico 1.16 in 0.188 seconds.