The generator matrix

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

generates a code of length 7 over F8[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+245x^32+448x^35+588x^40+17920x^42+6272x^43+1666x^48+86016x^49+125440x^50+21952x^51+1596x^56

The gray image is a linear code over GF(8) with n=56, k=6 and d=32.
This code was found by Heurico 1.16 in 0.481 seconds.