The generator matrix

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

generates a code of length 13 over F8[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+567x^64+2170x^72+3668x^80+10164x^88+229376x^91+10388x^96+5810x^104

The gray image is a linear code over GF(8) with n=104, k=6 and d=64.
This code was found by Heurico 1.16 in 4.42 seconds.