The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+36x^38+288x^39+507x^40+1052x^41+1348x^42+1994x^43+2430x^44+3350x^45+3491x^46+4006x^47+3131x^48+3372x^49+2669x^50+2160x^51+1166x^52+878x^53+425x^54+238x^55+117x^56+52x^57+31x^58+18x^59+8x^60

The gray image is a linear code over GF(2) with n=188, k=15 and d=76.
This code was found by Heurico 1.16 in 26.2 seconds.