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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+62x^59+320x^60+810x^61+1650x^62+2302x^63+3273x^64+4596x^65+6101x^66+8072x^67+9291x^68+10918x^69+11791x^70+11934x^71+12277x^72+11290x^73+9829x^74+7816x^75+6095x^76+4768x^77+3113x^78+1980x^79+1291x^80+698x^81+384x^82+202x^83+88x^84+72x^85+26x^86+16x^87+2x^88+2x^90+2x^92

The gray image is a linear code over GF(2) with n=284, k=17 and d=118.
This code was found by Heurico 1.13 in 223 seconds.