The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X  1  1 X^3+X^2  1  1  1  1  1  1  1  1  0 X^2+X X^3+X^2 X^3+X  1  1  1  1 X^3  1
 0  1 X+1 X^2+X X^2+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+1  1  0 X^2+X X+1 X^2+1 X^3+X^2 X^3+X X^3+X^2+X+1 X^3+1  1  1  1  1 X^3 X^3+X^2+X X^2  X  0 X^3
 0  0 X^3 X^3  0 X^3 X^3  0  0  0 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3  0 X^3  0  0 X^3 X^3  0  0 X^3 X^3 X^3

generates a code of length 30 over Z2[X]/(X^4) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+34x^28+268x^29+58x^30+40x^31+29x^32+76x^33+4x^34+2x^42

The gray image is a linear code over GF(2) with n=240, k=9 and d=112.
This code was found by Heurico 1.16 in 1.05e-007 seconds.