The generator matrix

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

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+214x^30+176x^31+330x^32+252x^33+294x^34+176x^35+229x^36+120x^37+122x^38+32x^39+61x^40+12x^41+26x^42+3x^44

The gray image is a linear code over GF(2) with n=136, k=11 and d=60.
This code was found by Heurico 1.16 in 2.69 seconds.