The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  X  X a*X  0 a^2*X a^2*X a^2*X a^2*X  X a^4*X a^3*X a^5*X
 0  0  X  0 a^6*X a^5*X a*X a^3*X a^6*X a^2*X a^4*X a^6*X a^6*X  0 a^5*X a^3*X
 0  0  0  X  X a^4*X a^4*X a^3*X a^4*X  X a*X a*X a*X a^2*X a^4*X  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+868x^96+448x^104+29680x^112+1344x^120+427x^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 12.5 seconds.