The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1  1 X^2+X  1  1  1 X^2+X  1  1  1  0  1  1  1  X  0  1  1  X  1
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+1 X^2+X  1 X^2+1 X+1  0  1 X^2+X X+1 X^2+X+1  1 X+1 X^2+1  0 X^2  1 X^2+X+1 X+1  X  0
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0
 0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 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+35x^26+46x^27+80x^28+44x^29+98x^30+72x^31+71x^32+20x^33+25x^34+10x^35+6x^36+1x^40+2x^42+1x^48

The gray image is a linear code over GF(2) with n=120, k=9 and d=52.
This code was found by Heurico 1.16 in 0.0125 seconds.