The generator matrix

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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+58x^29+125x^30+402x^31+394x^32+836x^33+649x^34+1212x^35+774x^36+1356x^37+650x^38+868x^39+332x^40+292x^41+94x^42+76x^43+34x^44+18x^45+17x^46+2x^47+1x^48+1x^50

The gray image is a linear code over GF(2) with n=144, k=13 and d=58.
This code was found by Heurico 1.16 in 1.34 seconds.