The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1 X^2+X  1 X^2  X  1  1  0  1 X^2 X^2+X  1  1  1  1  1  1  1  X X^2+X  1  1  1
 0  1  0  0  0  1 X^2 X^2+1  1 X+1 X^2+X  1 X^2+1  X  1 X^2+1  1  1 X^2+X+1 X^2+X+1 X^2 X^2+1  0 X^2  X X^2+X+1  0 X^2+X+1 X^2+X X^2+X X^2+X  1  1 X^2+1 X^2+X  0
 0  0  1  0  0  1 X^2+1  X X^2+X+1 X^2+1  1 X^2 X^2+X  1 X+1 X^2  X  1 X+1  X  1  1  1  1 X^2 X+1 X^2+1  1 X^2+X  0 X^2+X X^2+X+1 X^2+X+1 X^2 X^2 X^2
 0  0  0  1 X+1 X^2 X^2+X+1 X^2+1 X^2+1  1  1 X^2+1  X  0 X^2+X X^2 X^2+X+1  X  0 X^2 X^2+X X^2+X+1 X^2+1 X+1  X X^2+X  0 X^2+X  1  0 X^2+X+1  0  1 X^2+X+1 X^2+X  0
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  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+134x^30+370x^31+582x^32+774x^33+881x^34+894x^35+942x^36+1002x^37+861x^38+670x^39+529x^40+330x^41+133x^42+50x^43+25x^44+6x^45+5x^46+2x^50+1x^52

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 1.2 seconds.