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

generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+92x^49+458x^50+1036x^51+1946x^52+2952x^53+4364x^54+5724x^55+8057x^56+9316x^57+11700x^58+12272x^59+13779x^60+12902x^61+12738x^62+9790x^63+8354x^64+5730x^65+4080x^66+2482x^67+1427x^68+874x^69+516x^70+238x^71+124x^72+70x^73+30x^74+10x^75+8x^76+2x^78

The gray image is a linear code over GF(2) with n=240, k=17 and d=98.
This code was found by Heurico 1.13 in 180 seconds.