The generator matrix

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

generates a code of length 46 over GR(64,4) who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+1442x^304+3024x^305+952x^306+336x^310+7616x^311+11046x^312+20832x^313+6104x^314+3584x^315+1120x^318+16128x^319+19887x^320+30800x^321+10024x^322+25088x^323+2128x^326+26432x^327+28994x^328+38528x^329+8008x^330+7x^336+56x^360+7x^368

The gray image is a code over GF(8) with n=368, k=6 and d=304.
This code was found by Heurico 1.16 in 8.75 seconds.