The generator matrix

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

generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 252.

Homogenous weight enumerator: w(x)=1x^0+252x^252+216x^253+264x^254+819x^256+780x^257+408x^258+1164x^260+996x^261+444x^262+1086x^264+1140x^265+516x^266+1215x^268+984x^269+492x^270+1224x^272+1044x^273+624x^274+873x^276+756x^277+228x^278+360x^280+204x^281+84x^282+48x^284+24x^285+12x^286+33x^288+24x^292+24x^296+12x^300+9x^304+9x^308+12x^312+3x^316

The gray image is a code over GF(4) with n=356, k=7 and d=252.
This code was found by Heurico 1.16 in 2.47 seconds.