The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  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^4*X  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 a*X a^4*X  0  X
 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  0 a^2*X a^5*X a^4*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+287x^112+798x^120+3584x^126+721x^128+25088x^134+952x^136+1015x^144+322x^152

The gray image is a linear code over GF(8) with n=152, k=5 and d=112.
This code was found by Heurico 1.16 in 0.142 seconds.