The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+62x^31+213x^32+222x^33+424x^34+336x^35+717x^36+326x^37+563x^38+336x^39+449x^40+170x^41+115x^42+56x^43+55x^44+18x^45+17x^46+10x^47+5x^48+1x^50

The gray image is a linear code over GF(2) with n=148, k=12 and d=62.
This code was found by Heurico 1.16 in 0.749 seconds.