The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  X X^2+X  1  0 X^2  1 X^2  1  1 X^2+X X^2  X  1  X  0  0 X^2+X  1  1  1 X^2  1  1  1  1  0  X  1  1  1  X  X  1  X  X  1 X^2+X X^2  X  1  1  0 X^2+X  1  1  1
 0  1  0  0  0  1  1  1 X^2+X+1 X^2+1  X  1 X^2+X  0  1 X^2 X+1  1 X^2+X X+1  1 X^2  1 X^2  1 X^2+X  1  X X^2+X+1  X X+1 X^2+X  X  0 X^2 X^2+X+1  1  1 X^2 X^2+1 X^2  1  1 X+1 X^2  1 X+1 X^2+X X^2+X  1 X^2+X X^2+1  1  0  1  X  0
 0  0  1  0  1  1  0  1 X^2+1 X^2+X  X X^2+1  1 X^2+X+1  0 X^2+X X^2+X+1  0  1 X^2+1  1  1 X^2+1 X^2+X X^2  1 X^2+X  X  0 X^2  0  1  1 X^2+X X+1 X^2+X X^2  X X^2+X+1 X^2+X+1 X^2 X^2+X+1 X^2+X+1 X+1  1 X^2+X+1 X^2+X  1  1  1  X  0  X X^2+X X+1 X+1  0
 0  0  0  1  1  0  1 X^2+1 X^2+X+1 X^2 X^2+X+1  0 X+1 X^2 X^2+X+1  1 X^2+1 X^2+X  0  X  X X^2+1 X^2+1 X^2+X X+1  0 X^2  1  1 X+1  0 X^2+1  1 X^2+1 X+1  1  1 X^2 X^2  X X^2+X  0  X X+1 X^2+X X^2+X+1 X^2 X^2+1 X^2+X+1 X^2+1  X X^2+X X^2  1  X X^2+X X^2
 0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2  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  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  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+113x^48+412x^49+738x^50+1198x^51+1689x^52+2034x^53+2523x^54+2890x^55+3129x^56+3282x^57+3273x^58+2950x^59+2505x^60+2242x^61+1455x^62+914x^63+723x^64+322x^65+193x^66+108x^67+24x^68+28x^69+10x^70+4x^71+6x^72+2x^76

The gray image is a linear code over GF(2) with n=228, k=15 and d=96.
This code was found by Heurico 1.16 in 35.3 seconds.