The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  1  1 X^2  1  1 X^2  1  0  1  1 X^2  1  1
 0  X  0  0  0  0  0 X^2 X^2  X X^2+X  X  X  X X^2+X  0 X^2 X^2+X X^2+X X^2  0 X^2  X  0  X  X X^2 X^2+X  X X^2  0 X^2 X^2+X  0 X^2+X X^2+X
 0  0  X  0  0 X^2 X^2+X  X  X  X  X  X X^2+X  0  0 X^2 X^2 X^2 X^2 X^2 X^2+X X^2 X^2 X^2+X  0  0  0  0  X X^2+X  X  X X^2  0 X^2+X  X
 0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X  0  0  X  X  X X^2  0 X^2  0 X^2  X  X X^2 X^2  0 X^2  0 X^2+X X^2 X^2+X  0  X  0  0  X
 0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2 X^2  X X^2 X^2+X  X X^2  X X^2 X^2+X X^2  X X^2+X X^2+X  X X^2+X  X X^2+X  X X^2+X  0 X^2 X^2  X  X 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+41x^30+122x^31+133x^32+144x^33+227x^34+274x^35+266x^36+238x^37+195x^38+142x^39+85x^40+54x^41+45x^42+38x^43+26x^44+10x^45+4x^46+2x^49+1x^56

The gray image is a linear code over GF(2) with n=144, k=11 and d=60.
This code was found by Heurico 1.16 in 0.152 seconds.