The generator matrix

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

generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+240x^41+609x^42+1104x^43+1521x^44+2316x^45+2397x^46+3174x^47+3047x^48+3610x^49+3265x^50+3588x^51+2606x^52+2050x^53+1343x^54+984x^55+444x^56+286x^57+86x^58+44x^59+29x^60+10x^61+12x^62+2x^63

The gray image is a linear code over GF(2) with n=196, k=15 and d=82.
This code was found by Heurico 1.13 in 9.55 seconds.