The generator matrix

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

generates a code of length 17 over F8[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+119x^112+672x^113+168x^114+826x^120+2016x^121+280x^122+14x^128

The gray image is a linear code over GF(8) with n=136, k=4 and d=112.
This code was found by Heurico 1.16 in 0.00132 seconds.