The generator matrix

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

generates a code of length 11 over GR(64,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+301x^56+455x^64+742x^72+28672x^77+1568x^80+1029x^88

The gray image is a code over GF(8) with n=88, k=5 and d=56.
This code was found by Heurico 1.16 in 0.0592 seconds.