The generator matrix

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

generates a code of length 7 over GR(64,4) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+245x^32+448x^35+588x^40+17920x^42+6272x^43+1666x^48+86016x^49+125440x^50+21952x^51+1596x^56

The gray image is a code over GF(8) with n=56, k=6 and d=32.
This code was found by Heurico 1.16 in 0.482 seconds.