The generator matrix

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

generates a code of length 6 over GR(64,4) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+105x^32+168x^40+3584x^42+238x^48

The gray image is a code over GF(8) with n=48, k=4 and d=32.
This code was found by Heurico 1.16 in 0.00047 seconds.