The generator matrix

 1  0  0  1  1  1  X X^2+X  0 X^2  1  1  1  1  1 X^2+X X^2  1  1  1  X  1  0  1  1  X  X  0 X^2+X X^2+X  1  X X^2  X  1  1
 0  1  0  X  1 X^2+X+1  1  1  1  X X^2  X X+1 X^2+1 X^2  1  1 X^2  X X^2+1  1 X+1  1 X+1 X^2+X+1 X^2+X X^2  1  1  1 X^2+1  0  1  1  1  0
 0  0  1  1 X^2+X+1 X^2+X  1 X+1 X^2+X  1  X X^2+X+1 X+1  0  1  0  1 X^2+X+1  X X+1  X  0 X^2+X X^2  X  1  1 X+1 X^2+1 X+1  X  1  0 X^2  X  0
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2  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+41x^30+188x^31+275x^32+474x^33+416x^34+536x^35+384x^36+496x^37+373x^38+382x^39+216x^40+178x^41+59x^42+44x^43+16x^44+4x^45+6x^46+2x^47+4x^48+1x^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 0.33 seconds.