The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  0  X  1 X^2+X  1 X^2  1  1  1  1 X^2+X  X X^2  1 X^2+X  1  1 X^2+X  1
 0  1  0  0  0  1  1  1 X^2+X X^2+X+1  X  X  1 X^2+1  1 X^2+1  1 X^2+X+1 X^2  1 X+1  1 X^2  1  X  1 X^2+X+1 X^2+X+1 X^2+X  0
 0  0  1  0  1  1 X^2 X^2+1  0 X+1 X^2+X+1  1 X+1 X^2+X  X X^2 X^2+X+1 X^2 X^2 X^2+X  0 X+1  1 X^2+1 X^2+X  0 X^2+1 X^2+X  1  0
 0  0  0  1  1 X^2 X^2+1  1 X+1 X^2+X+1  0 X+1 X^2+X  X X^2+1 X+1 X+1  X X^2+X X^2  1  1 X^2+1 X^2 X^2 X^2+X+1 X^2+1 X^2+X  1  0
 0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0  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+67x^24+360x^25+413x^26+764x^27+822x^28+1202x^29+995x^30+1168x^31+822x^32+776x^33+368x^34+292x^35+80x^36+42x^37+15x^38+4x^41+1x^42

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 0.912 seconds.