The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+48x^35+32x^36+112x^37+24x^38+16x^39+5x^40+16x^41+2x^52

The gray image is a linear code over GF(2) with n=148, k=8 and d=70.
This code was found by Heurico 1.16 in 0.0155 seconds.