The generator matrix

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

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+112x^30+116x^31+327x^32+220x^33+590x^34+408x^35+598x^36+456x^37+516x^38+244x^39+250x^40+92x^41+112x^42+34x^44+12x^46+6x^48+2x^50

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.