The generator matrix

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

generates a code of length 29 over F8[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+504x^168+1918x^176+2933x^184+4529x^192+28672x^196+5831x^200+200704x^204+7574x^208+6083x^216+2842x^224+553x^232

The gray image is a linear code over GF(8) with n=232, k=6 and d=168.
This code was found by Heurico 1.16 in 15.3 seconds.