The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  1  1  X  X  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  a a^6*X+a^2  0 a^6*X+1 a^5  a  1  0 a^3 a^6*X+a^4 a^6*X+a^2 a^5*X+a^2  1 a^5 a^6*X+1 a^5*X+a^2 a^3  1  1  X  X
 0  0 a^6*X  0  X  X a^3*X  X a^2*X a^3*X a^6*X a^2*X a^2*X  0 a^2*X a^6*X a^4*X a^4*X a^4*X  0 a^3*X a^3*X a*X a^3*X a^3*X a^2*X a^6*X a*X a^6*X a^6*X
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^4*X a*X a^2*X  0 a^2*X a^3*X a*X a^2*X a^4*X a*X  0 a^3*X a^4*X  X a^2*X a^3*X a*X a^2*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+126x^184+224x^189+1680x^191+630x^192+448x^196+4704x^197+8400x^199+861x^200+3584x^203+6272x^204+32928x^205+31920x^207+658x^208+25088x^211+21952x^212+76832x^213+44016x^215+728x^216+567x^224+413x^232+112x^240

The gray image is a linear code over GF(8) with n=240, k=6 and d=184.
This code was found by Heurico 1.16 in 6.16 seconds.