The generator matrix

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

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+150x^25+202x^26+502x^27+380x^28+672x^29+422x^30+618x^31+319x^32+432x^33+166x^34+154x^35+36x^36+24x^37+10x^38+6x^39+2x^41

The gray image is a linear code over GF(2) with n=120, k=12 and d=50.
This code was found by Heurico 1.16 in 0.268 seconds.