The generator matrix

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

generates a code of length 46 over GR(64,4) who´s minimum homogenous weight is 296.

Homogenous weight enumerator: w(x)=1x^0+315x^296+112x^297+56x^301+1624x^303+2891x^304+3080x^305+448x^308+1176x^309+8568x^311+7637x^312+8904x^313+6272x^316+8232x^317+31752x^319+23275x^320+22680x^321+21952x^324+19208x^325+44072x^327+26131x^328+22568x^329+441x^336+371x^344+266x^352+98x^360+14x^368

The gray image is a code over GF(8) with n=368, k=6 and d=296.
This code was found by Heurico 1.16 in 10.3 seconds.