The generator matrix

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

generates a code of length 18 over F8[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+1057x^112+5208x^113+2352x^114+2240x^119+14329x^120+31248x^121+7840x^122+43008x^126+15680x^127+49518x^128+74648x^129+14896x^130+35x^136+84x^144

The gray image is a linear code over GF(8) with n=144, k=6 and d=112.
This code was found by Heurico 1.16 in 2.41 seconds.