The generator matrix

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

generates a code of length 92 over GR(16,4) who´s minimum homogenous weight is 264.

Homogenous weight enumerator: w(x)=1x^0+1185x^264+3291x^268+3102x^272+2823x^276+2256x^280+1569x^284+1086x^288+741x^292+303x^296+24x^300+3x^320

The gray image is a code over GF(4) with n=368, k=7 and d=264.
This code was found by Heurico 1.16 in 1.79 seconds.