The generator matrix

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

generates a code of length 12 over F8[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+378x^56+1687x^64+3332x^72+9828x^80+229376x^84+10850x^88+6692x^96

The gray image is a linear code over GF(8) with n=96, k=6 and d=56.
This code was found by Heurico 1.16 in 3.3 seconds.