The generator matrix

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

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+127x^30+72x^31+411x^32+160x^33+673x^34+280x^35+724x^36+288x^37+623x^38+152x^39+352x^40+64x^41+102x^42+8x^43+44x^44+9x^46+4x^48+1x^50+1x^54

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 4.74 seconds.