The generator matrix

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

generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+62x^48+386x^49+854x^50+1248x^51+1630x^52+1966x^53+2757x^54+2788x^55+3133x^56+3052x^57+3273x^58+2870x^59+2700x^60+2104x^61+1646x^62+1034x^63+574x^64+332x^65+203x^66+70x^67+60x^68+14x^69+3x^70+2x^71+2x^73+4x^75

The gray image is a linear code over GF(2) with n=228, k=15 and d=96.
This code was found by Heurico 1.13 in 11.3 seconds.