The generator matrix

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

generates a code of length 17 over F8[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+140x^96+665x^104+756x^112+28672x^119+910x^120+1239x^128+385x^136

The gray image is a linear code over GF(8) with n=136, k=5 and d=96.
This code was found by Heurico 1.16 in 0.125 seconds.