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

generates a code of length 29 over F8[X]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+560x^184+1183x^192+3584x^196+560x^200+25088x^204+476x^208+560x^216+756x^224

The gray image is a linear code over GF(8) with n=232, k=5 and d=184.
This code was found by Heurico 1.16 in 64.3 seconds.