The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  1 X^2  1 X^2+X  1  1 X^2+X  1  1  1 X^2+X  1  1  1 X^2+X  1  1  1  0  1  0  1  0  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1  1 X^2+X  1  0  1  1  1 X^2+1 X^2  1 X+1 X^2 X^2+X  1 X+1 X^2+1  X  1 X^2+X+1 X^2 X+1  1 X^2  1 X+1  X X^2+X+1
 0  0  X  0 X^2+X  0  0 X^2 X^2  0  0 X^2  0 X^2+X  X  X  0  0 X^2+X  X X^2+X  X X^2  0  X X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2+X  0  0 X^2
 0  0  0  X  0  0 X^2+X X^2+X X^2+X  X X^2 X^2+X X^2 X^2 X^2 X^2+X X^2+X  X  X X^2+X X^2  X X^2+X  0 X^2+X X^2+X  X  0 X^2+X  0 X^2+X  0  0 X^2  X X^2+X
 0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  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  0 X^2 X^2 X^2  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+128x^30+100x^31+325x^32+216x^33+568x^34+460x^35+602x^36+416x^37+480x^38+268x^39+314x^40+72x^41+88x^42+4x^43+30x^44+16x^46+8x^48

The gray image is a linear code over GF(2) with n=144, k=12 and d=60.
This code was found by Heurico 1.16 in 0.412 seconds.