The generator matrix

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

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+63x^64+252x^72+3584x^77+196x^88

The gray image is a linear code over GF(8) with n=88, k=4 and d=64.
This code was found by Heurico 1.16 in 0.0016 seconds.