The generator matrix

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

generates a code of length 14 over F8[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+462x^80+700x^88+861x^96+28672x^98+1484x^104+588x^112

The gray image is a linear code over GF(8) with n=112, k=5 and d=80.
This code was found by Heurico 1.16 in 0.127 seconds.