The generator matrix

 1  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 a*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  X

generates a code of length 13 over F8[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+112x^80+210x^88+3584x^91+63x^96+126x^104

The gray image is a linear code over GF(8) with n=104, k=4 and d=80.
This code was found by Heurico 1.16 in 0.00203 seconds.