The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+51x^48+478x^49+988x^50+1962x^51+2811x^52+4600x^53+5351x^54+8076x^55+9103x^56+12032x^57+12172x^58+14570x^59+12493x^60+13008x^61+9497x^62+8452x^63+5581x^64+4254x^65+2359x^66+1626x^67+746x^68+424x^69+220x^70+128x^71+60x^72+20x^73+5x^74+2x^75+2x^76

The gray image is a linear code over GF(2) with n=236, k=17 and d=96.
This code was found by Heurico 1.13 in 178 seconds.