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.