The generator matrix

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

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+35x^96+182x^104+3724x^112+42x^120+112x^128

The gray image is a linear code over GF(8) with n=128, k=4 and d=96.
This code was found by Heurico 1.16 in 0.00262 seconds.