The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+48x^34+142x^35+61x^36+68x^37+83x^38+42x^39+22x^40+4x^41+3x^42+20x^43+4x^44+12x^45+2x^46

The gray image is a linear code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.16 in 0.015 seconds.