The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  1  1  1  1  1  1  1  1  1  0  X  1  1  1  1  1  X X^2  X
 0  X  0  0  0  X X^2+X  X  0 X^2  X X^2+X  0 X^2  X  X X^2  0 X^2+X X^2+X X^2+X X^2 X^2 X^2  X X^2  X  0 X^2+X X^2+X  X X^2 X^2+X  0  0  X X^2
 0  0  X  0  X  X  X X^2  0 X^2 X^2+X X^2+X  X  X X^2 X^2 X^2+X  X X^2+X  X  X X^2  0  0  0 X^2+X X^2+X  X X^2+X X^2  0  X  0  X  X X^2+X X^2+X
 0  0  0  X  X X^2 X^2+X X^2+X  0 X^2+X X^2 X^2+X  X  0  X  0  X X^2+X  0 X^2  X X^2  0 X^2+X X^2  0  0 X^2  X X^2+X X^2+X X^2  0 X^2+X  X X^2  X
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  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+84x^32+20x^33+126x^34+64x^35+199x^36+88x^37+174x^38+64x^39+99x^40+20x^41+42x^42+28x^44+10x^46+4x^48+1x^60

The gray image is a linear code over GF(2) with n=148, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0581 seconds.