The generator matrix

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

generates a code of length 12 over F8[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+2016x^70+1680x^71+70x^72+2688x^77+28224x^78+10080x^79+252x^80+75264x^84+18816x^85+98784x^86+24080x^87+42x^88+147x^96

The gray image is a linear code over GF(8) with n=96, k=6 and d=70.
This code was found by Heurico 1.16 in 1.49 seconds.