The generator matrix

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

generates a code of length 16 over F8[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+7x^96+224x^98+336x^100+238x^104+1792x^105+3136x^106+1120x^108+84x^112+12544x^113+10976x^114+2128x^116+98x^120+84x^128

The gray image is a linear code over GF(8) with n=128, k=5 and d=96.
This code was found by Heurico 1.16 in 0.0474 seconds.