The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  1 X^2  1  1  X X^2+X X^2 X^2  1 X^2+X  1  1  0  X  1  X  1  1 X^2  X  1  1  1  1  1  0 X^2
 0  1  0  0  1 X+1  1 X^2+X X^2+1  X  1 X^2+X+1  1 X^2+X  1  X  1 X^2+X  0 X+1  1  1  1 X^2+X+1  1 X^2 X^2+X  1  1 X^2+X+1 X^2 X+1 X+1  X X^2  1
 0  0  1  1  1  0  1  0 X^2 X+1 X+1  X X+1  1  0  1 X^2+1 X^2+X  1 X^2+1  X X^2 X^2+X X^2+1 X+1 X^2 X+1  0 X^2+1  X  1 X+1 X^2 X^2+X  1  1
 0  0  0  X X^2+X  0  X X^2 X^2  X  X X^2  X X^2  0  0 X^2+X  0 X^2  X X^2 X^2  X X^2 X^2 X^2+X  0 X^2+X  X  X X^2 X^2 X^2+X  X X^2+X X^2
 0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2
 0  0  0  0  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 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+230x^30+216x^31+695x^32+576x^33+1018x^34+736x^35+1248x^36+784x^37+1106x^38+552x^39+552x^40+176x^41+198x^42+32x^43+56x^44+8x^46+8x^48

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 1.57 seconds.