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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+53x^48+48x^49+152x^50+248x^51+341x^52+538x^53+683x^54+984x^55+1260x^56+1414x^57+1664x^58+1722x^59+1574x^60+1468x^61+1267x^62+960x^63+690x^64+548x^65+268x^66+156x^67+141x^68+74x^69+45x^70+24x^71+26x^72+6x^73+12x^74+2x^75+8x^76+5x^78+2x^80

The gray image is a linear code over GF(2) with n=236, k=14 and d=96.
This code was found by Heurico 1.16 in 13.2 seconds.