The generator matrix

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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+212x^30+200x^31+764x^32+548x^33+988x^34+816x^35+1215x^36+792x^37+1066x^38+504x^39+595x^40+164x^41+216x^42+48x^43+49x^44+14x^46

The gray image is a linear code over GF(2) with n=144, k=13 and d=60.
This code was found by Heurico 1.16 in 1.75 seconds.