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

generates a code of length 24 over GR(64,4) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+259x^144+686x^152+665x^160+29428x^168+833x^176+686x^184+210x^192

The gray image is a code over GF(8) with n=192, k=5 and d=144.
This code was found by Heurico 1.16 in 0.206 seconds.