The generator matrix

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

generates a code of length 15 over F8[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+84x^80+56x^84+434x^88+1792x^91+1176x^92+721x^96+14336x^98+25088x^99+8232x^100+1008x^104+100352x^106+87808x^107+19208x^108+1330x^112+518x^120

The gray image is a linear code over GF(8) with n=120, k=6 and d=80.
This code was found by Heurico 1.16 in 2.39 seconds.