The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+92x^49+553x^50+958x^51+1477x^52+2254x^53+2981x^54+4056x^55+4546x^56+5920x^57+6163x^58+7086x^59+6463x^60+6092x^61+4792x^62+4294x^63+2891x^64+2060x^65+1259x^66+740x^67+473x^68+182x^69+111x^70+50x^71+14x^72+8x^73+13x^74+7x^76

The gray image is a linear code over GF(2) with n=236, k=16 and d=98.
This code was found by Heurico 1.13 in 45.9 seconds.