The generator matrix

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

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+193x^32+332x^33+436x^34+456x^35+525x^36+428x^37+420x^38+376x^39+378x^40+252x^41+152x^42+64x^43+61x^44+12x^45+8x^46+2x^48

The gray image is a linear code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.16 in 0.318 seconds.