The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5  a  a  0
 0  0 a^6*X  0  X  X a^3*X  X a^3*X a^5*X  0
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^6*X a^6*X  0

generates a code of length 11 over F8[X]/(X^2) 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 linear code over GF(8) with n=88, k=6 and d=56.
This code was found by Heurico 1.16 in 1.36 seconds.