The generator matrix

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

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+84x^24+290x^25+510x^26+728x^27+887x^28+998x^29+1110x^30+1124x^31+997x^32+670x^33+382x^34+256x^35+104x^36+26x^37+10x^38+4x^39+6x^40+4x^42+1x^44

The gray image is a linear code over GF(2) with n=120, k=13 and d=48.
This code was found by Heurico 1.16 in 1.08 seconds.