The generator matrix

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

generates a code of length 11 over F8[X]/(X^2) 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 linear code over GF(8) with n=88, k=5 and d=64.
This code was found by Heurico 1.16 in 0.0268 seconds.