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

generates a code of length 30 over F8[X]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+224x^184+623x^192+728x^200+3584x^203+644x^208+25088x^211+672x^216+644x^224+504x^232+56x^240

The gray image is a linear code over GF(8) with n=240, k=5 and d=184.
This code was found by Heurico 1.16 in 0.274 seconds.