The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+189x^50+454x^51+847x^52+1042x^53+1747x^54+2028x^55+2534x^56+2652x^57+3272x^58+3090x^59+3485x^60+2686x^61+2744x^62+1932x^63+1604x^64+994x^65+733x^66+342x^67+188x^68+104x^69+49x^70+24x^71+13x^72+10x^73+2x^74+2x^75

The gray image is a linear code over GF(2) with n=236, k=15 and d=100.
This code was found by Heurico 1.16 in 38 seconds.