The generator matrix

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

generates a code of length 14 over F8[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+784x^92+49x^96+896x^98+2352x^100+14x^112

The gray image is a linear code over GF(8) with n=112, k=4 and d=92.
This code was found by Heurico 1.16 in 0.00533 seconds.