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

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

Homogenous weight enumerator: w(x)=1x^0+189x^144+224x^147+224x^148+693x^152+1792x^154+4704x^155+2016x^156+770x^160+25088x^162+32928x^163+9632x^164+714x^168+87808x^170+76832x^171+16800x^172+861x^176+721x^184+147x^192

The gray image is a code over GF(8) with n=192, k=6 and d=144.
This code was found by Heurico 1.16 in 4.78 seconds.