The generator matrix

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

generates a code of length 11 over F8[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+392x^70+224x^71+14x^72+2744x^78+672x^79+49x^80

The gray image is a linear code over GF(8) with n=88, k=4 and d=70.
This code was found by Heurico 1.16 in 0.000702 seconds.