The generator matrix

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

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+52x^24+110x^25+231x^26+364x^27+440x^28+576x^29+632x^30+540x^31+409x^32+344x^33+212x^34+84x^35+52x^36+24x^37+12x^38+4x^39+6x^40+2x^41+1x^42

The gray image is a linear code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.305 seconds.