The generator matrix
1 0 1 1 1 1
0 1 2a^2+3 a 3a^2+2 2a^2+3a+1
generates a code of length 6 over GR(64,4) who´s minimum homogenous weight is 35.
Homogenous weight enumerator: w(x)=1x^0+336x^35+42x^40+1344x^42+2352x^43+21x^48
The gray image is a code over GF(8) with n=48, k=4 and d=35.
This code was found by Heurico 1.16 in 0.000233 seconds.