The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+62x^42+204x^43+220x^44+296x^45+220x^46+278x^47+161x^48+176x^49+129x^50+116x^51+60x^52+50x^53+15x^54+22x^55+18x^56+4x^57+5x^58+4x^59+4x^60+2x^61+1x^62

The gray image is a linear code over GF(2) with n=188, k=11 and d=84.
This code was found by Heurico 1.16 in 0.146 seconds.