The generator matrix

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

generates a code of length 91 over GR(16,4) who´s minimum homogenous weight is 269.

Homogenous weight enumerator: w(x)=1x^0+144x^269+216x^270+27x^272+96x^273+288x^274+18x^276+144x^277+72x^278+6x^280+6x^284+6x^296

The gray image is a code over GF(4) with n=364, k=5 and d=269.
This code was found by Heurico 1.16 in 0.172 seconds.