The generator matrix

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

generates a code of length 15 over F8[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+840x^92+189x^96+5040x^100+168x^104+14336x^105+12040x^108+42x^112+112x^120

The gray image is a linear code over GF(8) with n=120, k=5 and d=92.
This code was found by Heurico 1.16 in 0.0534 seconds.