The generator matrix

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

generates a code of length 29 over F8[X]/(X^2) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+2954x^192+1792x^196+5768x^200+12544x^204+9604x^208+42x^216+49x^224+14x^232

The gray image is a linear code over GF(8) with n=232, k=5 and d=192.
This code was found by Heurico 1.16 in 0.0876 seconds.