The generator matrix

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

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+72x^25+314x^26+484x^27+514x^28+492x^29+446x^30+480x^31+481x^32+408x^33+222x^34+92x^35+54x^36+20x^37+10x^38+6x^40

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 0.238 seconds.