The generator matrix

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

generates a code of length 16 over F8[X]/(X^2) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+896x^106+504x^112+2688x^114+7x^128

The gray image is a linear code over GF(8) with n=128, k=4 and d=106.
This code was found by Heurico 1.16 in 0.00114 seconds.