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

generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 267.

Homogenous weight enumerator: w(x)=1x^0+192x^267+30x^268+15x^272+18x^276

The gray image is a code over GF(4) with n=356, k=4 and d=267.
This code was found by Heurico 1.16 in 2.66 seconds.