The generator matrix

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

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+301x^56+455x^64+742x^72+28672x^77+1568x^80+1029x^88

The gray image is a linear code over GF(8) with n=88, k=5 and d=56.
This code was found by Heurico 1.16 in 0.0589 seconds.