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

generates a code of length 91 over GR(16,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+204x^272+18x^276+12x^280+6x^284+12x^288+3x^304

The gray image is a code over GF(4) with n=364, k=4 and d=272.
This code was found by Heurico 1.16 in 0.204 seconds.