The generator matrix

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

generates a code of length 11 over GR(64,4) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+245x^64+3584x^70+1162x^72+25088x^78+2562x^80+126x^88

The gray image is a code over GF(8) with n=88, k=5 and d=64.
This code was found by Heurico 1.16 in 0.0269 seconds.