The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+184x^28+554x^29+1463x^30+2858x^31+4559x^32+6822x^33+9952x^34+13588x^35+16364x^36+17664x^37+16565x^38+13828x^39+10720x^40+7164x^41+4274x^42+2468x^43+1164x^44+494x^45+251x^46+90x^47+32x^48+6x^49+6x^50+1x^54

The gray image is a linear code over GF(2) with n=148, k=17 and d=56.
This code was found by Heurico 1.13 in 94.6 seconds.