The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  X  X a*X a^2*X  0 a^2*X a^4*X  X a*X
 0  0  X  0 a^6*X a^5*X a*X a^6*X a^2*X a^6*X a^3*X a^3*X a*X
 0  0  0  X  X a^4*X a^4*X  X  X a^4*X  0 a^6*X a^3*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+714x^80+840x^88+28672x^91+1533x^96+686x^104

The gray image is a linear code over GF(8) with n=104, k=5 and d=72.
This code was found by Heurico 1.16 in 0.114 seconds.