The generator matrix

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

generates a code of length 7 over GR(64,4) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+1176x^35+147x^40+9408x^42+16464x^43+147x^48+111104x^49+65856x^50+57624x^51+217x^56

The gray image is a code over GF(8) with n=56, k=6 and d=35.
This code was found by Heurico 1.16 in 0.468 seconds.