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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+136x^51+425x^52+768x^53+869x^54+1074x^55+1187x^56+1626x^57+1307x^58+1570x^59+1484x^60+1648x^61+1260x^62+1040x^63+700x^64+576x^65+315x^66+206x^67+103x^68+32x^69+21x^70+18x^71+2x^72+6x^73+4x^74+4x^75+2x^76

The gray image is a linear code over GF(2) with n=236, k=14 and d=102.
This code was found by Heurico 1.13 in 3.41 seconds.