The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+47x^32+170x^33+185x^34+348x^35+191x^36+334x^37+147x^38+256x^39+110x^40+104x^41+44x^42+52x^43+35x^44+14x^45+7x^46+2x^49+1x^50

The gray image is a linear code over GF(2) with n=148, k=11 and d=64.
This code was found by Heurico 1.16 in 0.0976 seconds.