The generator matrix

 1  0  0  1  1  1  X  X X^2+X  1  1  1 X^2+X  1  1  0  1  1  X  1  1 X^2+X  1 X^2+X  1  1 X^2  1  1  1  X X^2  0 X^2+X  1  0  1
 0  1  0  0 X^2+1 X+1  1 X^2+X  1 X^2+X X^2+1 X^2+X  1 X^2+X+1  1  1 X^2+X+1  X  X X^2+X+1  1  1  X  1 X^2+X  X  1  0 X^2+X+1 X^2  1  1  1 X^2  1  1  0
 0  0  1  1  1  0 X+1  1  X  X  1 X+1 X^2+X+1  0 X^2+X  1 X^2+X+1 X^2  1 X+1  0  X X^2+1  1 X+1 X^2 X^2+X X^2+X+1  1  1 X^2 X^2+X X^2+1  1 X^2+X+1 X^2+1  0
 0  0  0  X X^2+X X^2  X  X  X X^2+X  0  0  0  X X^2 X^2+X X^2 X^2 X^2 X^2+X  X X^2  0  0  X X^2+X  X  X X^2+X X^2 X^2 X^2+X  0  0  0 X^2  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+57x^32+154x^33+279x^34+296x^35+170x^36+232x^37+261x^38+158x^39+148x^40+122x^41+77x^42+56x^43+22x^44+2x^45+7x^46+2x^47+2x^48+2x^53

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 0.097 seconds.