The generator matrix

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

generates a code of length 13 over F8[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+280x^84+448x^85+28x^88+1960x^92+1344x^93+35x^96

The gray image is a linear code over GF(8) with n=104, k=4 and d=84.
This code was found by Heurico 1.16 in 0.000868 seconds.