The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+78x^37+277x^38+562x^39+826x^40+1324x^41+2043x^42+2504x^43+2984x^44+3728x^45+3991x^46+3658x^47+3308x^48+2712x^49+1917x^50+1234x^51+716x^52+426x^53+236x^54+100x^55+68x^56+52x^57+16x^58+6x^59+1x^64

The gray image is a linear code over GF(2) with n=184, k=15 and d=74.
This code was found by Heurico 1.16 in 28.4 seconds.