The generator matrix

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

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+98x^29+430x^30+624x^31+998x^32+1258x^33+1753x^34+1848x^35+2284x^36+1900x^37+1872x^38+1300x^39+1005x^40+514x^41+289x^42+104x^43+58x^44+22x^45+8x^46+12x^47+6x^48

The gray image is a linear code over GF(2) with n=144, k=14 and d=58.
This code was found by Heurico 1.13 in 1.78 seconds.