The generator matrix

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

generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+58x^59+135x^60+72x^61+71x^62+46x^63+46x^64+28x^65+15x^66+12x^67+16x^68+1x^70+4x^71+1x^72+4x^75+1x^78+1x^80

The gray image is a linear code over GF(2) with n=248, k=9 and d=118.
This code was found by Heurico 1.11 in 0.047 seconds.