The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+155x^30+68x^31+419x^32+304x^33+881x^34+700x^35+1153x^36+960x^37+1151x^38+636x^39+774x^40+336x^41+357x^42+68x^43+170x^44+46x^46+10x^48+2x^50+1x^52

The gray image is a linear code over GF(2) with n=148, k=13 and d=60.
This code was found by Heurico 1.16 in 2.01 seconds.