The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+154x^36+536x^37+1184x^38+2250x^39+3515x^40+5854x^41+7230x^42+10272x^43+11797x^44+14524x^45+15137x^46+15016x^47+12709x^48+11136x^49+7393x^50+5396x^51+3064x^52+1948x^53+965x^54+526x^55+267x^56+114x^57+57x^58+12x^59+13x^60+2x^62

The gray image is a linear code over GF(2) with n=184, k=17 and d=72.
This code was found by Heurico 1.13 in 127 seconds.