The generator matrix

 1  0  1  1  1
 0  1  1  a 3a^2+2
 0  0 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+2240x^28+175x^32+14336x^35+15680x^36+266x^40

The gray image is a code over GF(8) with n=40, k=5 and d=24.
This code was found by Heurico 1.16 in 0.00599 seconds.