The generator matrix
1 0 1 1 1 1 1 1
0 1 2a^2+3 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3
generates a code of length 8 over GR(64,4) who´s minimum homogenous weight is 49.
Homogenous weight enumerator: w(x)=1x^0+448x^49+504x^56+3136x^57+7x^64
The gray image is a code over GF(8) with n=64, k=4 and d=49.
This code was found by Heurico 1.16 in 0.000321 seconds.