The generator matrix

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

generates a code of length 19 over F8[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+406x^112+224x^113+1344x^119+3136x^120+2016x^121+10752x^126+18816x^127+17227x^128+9632x^129+75264x^134+65856x^135+39256x^136+16800x^137+1134x^144+280x^152

The gray image is a linear code over GF(8) with n=152, k=6 and d=112.
This code was found by Heurico 1.16 in 3.35 seconds.