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

generates a code of length 93 over GR(16,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+954x^272+1428x^276+732x^280+360x^284+219x^288+156x^292+156x^296+72x^300+12x^304+6x^320

The gray image is a code over GF(4) with n=372, k=6 and d=272.
This code was found by Heurico 1.16 in 0.375 seconds.