The generator matrix

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

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+51x^26+130x^27+165x^28+148x^29+96x^30+114x^31+145x^32+100x^33+37x^34+10x^35+9x^36+8x^37+6x^38+2x^39+2x^42

The gray image is a linear code over GF(2) with n=120, k=10 and d=52.
This code was found by Heurico 1.16 in 0.0278 seconds.