The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+357x^56+3584x^63+1631x^64+21504x^70+8974x^72+28672x^77+150528x^78+25088x^79+20776x^80+1029x^88

The gray image is a code over GF(8) with n=88, k=6 and d=56.
This code was found by Heurico 1.16 in 1.37 seconds.