The generator matrix

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

generates a code of length 5 over GR(64,4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+70x^24+175x^32+3584x^35+266x^40

The gray image is a code over GF(8) with n=40, k=4 and d=24.
This code was found by Heurico 1.16 in 0.000346 seconds.