The generator matrix

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

generates a code of length 13 over F8[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+322x^72+1792x^77+714x^80+17920x^84+25088x^85+840x^88+125440x^92+87808x^93+1533x^96+686x^104

The gray image is a linear code over GF(8) with n=104, k=6 and d=72.
This code was found by Heurico 1.16 in 1.79 seconds.