The generator matrix

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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+83x^28+238x^29+698x^30+1328x^31+1913x^32+2498x^33+3355x^34+4132x^35+4178x^36+4030x^37+3593x^38+2780x^39+1872x^40+1078x^41+522x^42+268x^43+139x^44+28x^45+20x^46+4x^47+6x^48+3x^50+1x^54

The gray image is a linear code over GF(2) with n=144, k=15 and d=56.
This code was found by Heurico 1.16 in 17.8 seconds.