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

generates a code of length 44 over GR(64,4) who´s minimum homogenous weight is 264.

Homogenous weight enumerator: w(x)=1x^0+245x^264+1190x^272+2254x^280+2968x^288+4102x^296+28672x^301+4676x^304+200704x^309+5173x^312+5600x^320+4095x^328+1820x^336+595x^344+49x^352

The gray image is a code over GF(8) with n=352, k=6 and d=264.
This code was found by Heurico 1.16 in 26 seconds.