The generator matrix

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

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+115x^30+336x^31+718x^32+1034x^33+1457x^34+1562x^35+2040x^36+1756x^37+2119x^38+1780x^39+1521x^40+868x^41+530x^42+266x^43+166x^44+68x^45+32x^46+8x^47+2x^48+2x^49+3x^50

The gray image is a linear code over GF(2) with n=148, k=14 and d=60.
This code was found by Heurico 1.13 in 1.86 seconds.