The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  X  1  1  1  1  0 X^2  1  1  1  1 X^2+X  1  1  1 X^2  1  X  0  1  0
 0  1  1 X^2+X X^2+X+1  1 X^2 X+1  1  1  X X^2+1 X^2+1 X^2  1  1 X+1 X^2+X  1  1  1  1 X^2+X+1 X^2+X  1  X  1  1 X+1  1
 0  0  X  0 X^2+X  0  X X^2 X^2+X  X  X X^2  0  X  0 X^2+X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X  0  X X^2+X X^2  X  0  X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2
 0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0
 0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 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+60x^25+116x^26+202x^27+205x^28+390x^29+168x^30+382x^31+159x^32+178x^33+84x^34+54x^35+18x^36+10x^37+16x^38+2x^39+2x^41+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 0.0997 seconds.