The generator matrix

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

generates a code of length 25 over GR(64,4) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+224x^169+1176x^170+49x^176+672x^177+1960x^178+14x^184

The gray image is a code over GF(8) with n=200, k=4 and d=169.
This code was found by Heurico 1.16 in 0.00257 seconds.