The generator matrix

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

generates a code of length 12 over F8[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+70x^72+252x^80+3584x^84+42x^88+147x^96

The gray image is a linear code over GF(8) with n=96, k=4 and d=72.
This code was found by Heurico 1.16 in 0.00186 seconds.