The generator matrix

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

generates a code of length 92 over GR(16,4) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+864x^270+1863x^272+312x^278+96x^280+240x^286+591x^288+120x^294+9x^304

The gray image is a code over GF(4) with n=368, k=6 and d=270.
This code was found by Heurico 1.16 in 69.4 seconds.