The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+47x^38+78x^39+201x^40+212x^41+470x^42+704x^43+933x^44+1254x^45+1548x^46+1810x^47+1826x^48+1908x^49+1532x^50+1276x^51+963x^52+664x^53+435x^54+206x^55+137x^56+56x^57+50x^58+20x^59+31x^60+2x^61+10x^62+2x^63+3x^64+4x^66+1x^68

The gray image is a linear code over GF(2) with n=192, k=14 and d=76.
This code was found by Heurico 1.16 in 9.9 seconds.