The generator matrix

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

generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+94x^38+168x^39+759x^40+1236x^41+2444x^42+3432x^43+5831x^44+7636x^45+10158x^46+12040x^47+14378x^48+14236x^49+14472x^50+12296x^51+10637x^52+7852x^53+5726x^54+3288x^55+2164x^56+1056x^57+694x^58+192x^59+172x^60+48x^61+42x^62+8x^63+10x^64+2x^66

The gray image is a linear code over GF(2) with n=196, k=17 and d=76.
This code was found by Heurico 1.13 in 136 seconds.