The generator matrix

 1  0  0  0  1  1  1  0 X^2  1  X  1  1  0  1  1  X  1  1 X^2+X  X  X X^2+X  1  1 X^2+X  X X^2  1  1 X^2+X X^2+X X^2  1 X^2+X  1
 0  1  0  0  0  1  1  1 X^2+X  X  1 X^2+1 X^2+X+1  1 X^2 X+1 X^2+X X^2+X+1  1  1  1  1  1  X X^2+X  0  1  1 X^2+X X^2+X X^2  1  1  1  0  0
 0  0  1  0  0  1 X^2+1  X  1  1 X+1 X^2+X X^2 X^2+X+1 X^2+1  X X^2 X^2+X+1 X^2 X+1  X X^2+1  0  0 X^2+1 X^2+X X^2+X+1  X X+1 X^2  X X^2 X^2+X+1 X+1  0  1
 0  0  0  1  1 X^2 X^2+1  1 X^2+1  X  X X+1  0 X^2+1 X^2+X+1  1  1 X^2+1  X  1  0  0 X^2+1  1 X+1  1 X+1 X^2 X^2+X  0  1  X X^2  1  1 X+1
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  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+126x^30+404x^31+569x^32+736x^33+881x^34+884x^35+980x^36+1016x^37+891x^38+672x^39+466x^40+320x^41+143x^42+52x^43+32x^44+8x^45+7x^46+4x^47

The gray image is a linear code over GF(2) with n=144, k=13 and d=60.
This code was found by Heurico 1.11 in 0.484 seconds.