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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+40x^50+54x^51+143x^52+288x^53+287x^54+602x^55+539x^56+1252x^57+880x^58+1886x^59+1231x^60+2138x^61+1193x^62+1836x^63+865x^64+1208x^65+522x^66+666x^67+226x^68+212x^69+113x^70+74x^71+47x^72+20x^73+28x^74+2x^75+15x^76+2x^77+7x^78+4x^80+2x^82+1x^84

The gray image is a linear code over GF(2) with n=244, k=14 and d=100.
This code was found by Heurico 1.16 in 13.4 seconds.