The generator matrix

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

generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+138x^49+428x^50+590x^51+939x^52+1062x^53+1355x^54+1282x^55+1652x^56+1544x^57+1683x^58+1372x^59+1432x^60+992x^61+713x^62+508x^63+363x^64+148x^65+95x^66+22x^67+25x^68+16x^69+12x^70+2x^71+4x^72+2x^73+2x^74+2x^77

The gray image is a linear code over GF(2) with n=228, k=14 and d=98.
This code was found by Heurico 1.13 in 3.23 seconds.