The generator matrix

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

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+247x^32+252x^33+482x^34+328x^35+627x^36+416x^37+518x^38+280x^39+421x^40+228x^41+168x^42+32x^43+77x^44+14x^46+3x^48+2x^50

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 0.398 seconds.