The generator matrix

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

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+53x^34+136x^35+81x^36+66x^37+37x^38+52x^39+24x^40+18x^41+22x^42+16x^43+4x^44+2x^52

The gray image is a linear code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.11 in 0.016 seconds.