The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+80x^48+210x^49+391x^50+726x^51+1057x^52+1504x^53+2001x^54+2584x^55+2972x^56+3130x^57+3423x^58+3288x^59+3006x^60+2572x^61+1963x^62+1488x^63+981x^64+598x^65+348x^66+218x^67+117x^68+44x^69+28x^70+16x^71+10x^72+6x^73+6x^74

The gray image is a linear code over GF(2) with n=232, k=15 and d=96.
This code was found by Heurico 1.16 in 39.1 seconds.