The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1 X^2  1 X^2  X  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  0  1  0  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1 X+1  0  1 X^2+X+1  1  1  X X^2+1  0  1 X^2+X+1 X^2+X+1  1 X^2+X  1  1 X^2+X+1  1 X+1  X  1
 0  0  X  0 X^2+X X^2  0  0  0 X^2  X X^2+X X^2+X X^2+X X^2 X^2+X  X  0 X^2+X X^2  X X^2+X X^2+X  0  0  X  X  X X^2+X X^2+X
 0  0  0  X  0 X^2 X^2+X  X  X X^2  X X^2  X X^2+X  X X^2 X^2+X X^2 X^2  X X^2+X  X X^2+X  0  0  0  0  0 X^2+X X^2
 0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  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+62x^25+141x^26+158x^27+255x^28+334x^29+271x^30+232x^31+211x^32+172x^33+109x^34+54x^35+28x^36+6x^37+5x^38+4x^39+2x^41+2x^42+1x^44

The gray image is a linear code over GF(2) with n=120, k=11 and d=50.
This code was found by Heurico 1.16 in 0.0881 seconds.