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

generates a code of length 45 over GR(64,4) who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+5145x^304+10276x^312+17304x^320+14x^328+7x^336+7x^352+14x^360

The gray image is a code over GF(8) with n=360, k=5 and d=304.
This code was found by Heurico 1.16 in 0.156 seconds.