The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  1  X  1  1  1  1 X^2+X  1  X  X  1  0 X^2+X  1  1  1  1  1
 0  1  0  0  1  1  1 X^2 X^2+1  1  X X^2+X X^2+X+1  1  0 X^2+X+1 X^2+X X+1  1 X+1  1  X X^2+1 X^2+X X^2 X+1  X X+1  0  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X  1  0 X+1 X^2+X+1 X+1 X^2+X X^2+X X^2+1 X^2+X  X  0  1 X+1  1  1 X^2 X^2+X+1 X^2 X^2+X+1  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  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 26.

Homogenous weight enumerator: w(x)=1x^0+51x^26+76x^27+246x^28+140x^29+133x^30+104x^31+117x^32+40x^33+45x^34+12x^35+34x^36+12x^37+11x^38+2x^40

The gray image is a linear code over GF(2) with n=120, k=10 and d=52.
This code was found by Heurico 1.11 in 0.016 seconds.