The generator matrix

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

generates a code of length 34 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+21x^30+72x^31+59x^32+52x^33+104x^34+94x^35+45x^36+12x^37+17x^38+24x^39+6x^40+2x^42+2x^43+1x^60

The gray image is a linear code over GF(2) with n=136, k=9 and d=60.
This code was found by Heurico 1.16 in 0.0195 seconds.