The generator matrix
1 0 1 1 1 1 1 1
0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3
0 0 2a^2+2 2a 2a+2 2a^2+2a+2 2 2a^2
generates a code of length 8 over GR(64,4) who´s minimum homogenous weight is 48.
Homogenous weight enumerator: w(x)=1x^0+196x^48+3584x^49+3696x^56+25088x^57+203x^64
The gray image is a code over GF(8) with n=64, k=5 and d=48.
This code was found by Heurico 1.16 in 0.00811 seconds.