The generator matrix

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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+84x^29+153x^30+254x^31+491x^32+706x^33+836x^34+1016x^35+1182x^36+1024x^37+810x^38+690x^39+459x^40+210x^41+110x^42+84x^43+41x^44+24x^45+9x^46+4x^47+1x^48+2x^50+1x^52

The gray image is a linear code over GF(2) with n=144, k=13 and d=58.
This code was found by Heurico 1.16 in 7.22 seconds.