The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+258x^42+590x^43+1159x^44+1602x^45+2198x^46+2496x^47+3067x^48+3210x^49+3497x^50+3374x^51+3203x^52+2494x^53+2206x^54+1542x^55+962x^56+438x^57+245x^58+102x^59+88x^60+16x^61+10x^62+6x^63+2x^66+2x^67

The gray image is a linear code over GF(2) with n=200, k=15 and d=84.
This code was found by Heurico 1.13 in 9.77 seconds.