The generator matrix

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

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+181x^32+352x^33+480x^34+376x^35+526x^36+408x^37+538x^38+320x^39+338x^40+256x^41+172x^42+72x^43+58x^44+8x^45+10x^46

The gray image is a linear code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.11 in 0.141 seconds.