The generator matrix

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

generates a code of length 6 over GR(64,4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+140x^24+525x^32+1596x^40+28672x^42+1834x^48

The gray image is a code over GF(8) with n=48, k=5 and d=24.
This code was found by Heurico 1.16 in 0.0126 seconds.