The generator matrix

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

generates a code of length 12 over F8[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+504x^71+91x^72+1344x^77+3024x^79+189x^80+10752x^84+9408x^85+7224x^87+105x^88+126x^96

The gray image is a linear code over GF(8) with n=96, k=5 and d=71.
This code was found by Heurico 1.16 in 0.0308 seconds.