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

generates a code of length 45 over GR(64,4) who´s minimum homogenous weight is 288.

Homogenous weight enumerator: w(x)=1x^0+168x^288+840x^296+616x^304+3584x^308+686x^312+25088x^316+539x^320+448x^328+420x^336+238x^344+112x^352+28x^360

The gray image is a code over GF(8) with n=360, k=5 and d=288.
This code was found by Heurico 1.16 in 0.446 seconds.