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

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

Homogenous weight enumerator: w(x)=1x^0+105x^252+204x^256+153x^260+192x^261+132x^264+1152x^265+117x^268+1728x^269+60x^272+66x^276+42x^280+39x^284+21x^288+21x^292+21x^296+12x^300+12x^304+6x^308+3x^312+6x^316+3x^348

The gray image is a code over GF(4) with n=356, k=6 and d=252.
This code was found by Heurico 1.16 in 0.374 seconds.