The generator matrix

 1  0  0  1  1  1  0  1  1 X^2+X  1  1  1 X^2+X  1 X^2+X X^2 X^2  1  1  X  1 X^2+X  X  0  1  1 X^2+X  1  1  1  1  1  1  1  1  1
 0  1  0  0  1  1  1 X^2  X  1 X+1  1 X^2+1  1  X  0  1  X X^2+X X^2+X+1  1 X^2  0  0  1 X^2+1  X  1 X^2 X^2+1  X  1 X^2  0 X^2+X X^2+X X^2+1
 0  0  1 X+1 X^2+X+1  0 X+1  X  1  1  0 X^2+X X^2+1 X^2 X^2+X  1  1  1 X+1 X+1 X+1  0  1  1 X+1  X X+1 X^2+X X^2+X X^2+X+1 X^2+X X^2 X^2+1  1 X^2 X^2+X+1 X^2+1
 0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0  0
 0  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 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+249x^32+152x^33+636x^34+248x^35+770x^36+240x^37+600x^38+240x^39+494x^40+120x^41+220x^42+24x^43+78x^44+16x^46+8x^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 0.869 seconds.