The generator matrix

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

generates a code of length 88 over GR(16,4) who´s minimum homogenous weight is 252.

Homogenous weight enumerator: w(x)=1x^0+912x^252+684x^254+2199x^256+996x^258+2412x^260+840x^262+1920x^264+768x^266+1548x^268+552x^270+1263x^272+372x^274+774x^276+312x^278+558x^280+72x^282+159x^284+12x^286+27x^288+3x^300

The gray image is a code over GF(4) with n=352, k=7 and d=252.
This code was found by Heurico 1.16 in 3.03 seconds.