The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6  a  0 a^6*X+a^2 a^5 a^6*X+1
 0  0 a^6*X  0  X  X a^3*X  X a^2*X a^3*X a^4*X a^5*X a^6*X a^3*X
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^3*X a^3*X a^6*X a^5*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+455x^80+2240x^84+728x^88+14336x^91+31360x^92+819x^96+100352x^99+109760x^100+1512x^104+581x^112

The gray image is a linear code over GF(8) with n=112, k=6 and d=80.
This code was found by Heurico 1.16 in 2.59 seconds.