The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 X 0 0 0 1 X 1 1 1 X X 1 1 0 0 1 1
0 1 0 0 0 0 0 0 X X 0 X 1 1 1 1 X+1 1 1 0 X+1 1 X 1 X+1 0 X X X
0 0 1 0 0 0 1 X 0 1 0 1 1 X X+1 1 X+1 0 X 1 0 X+1 0 1 X X X X+1 0
0 0 0 1 0 1 X 0 1 1 1 0 X+1 X+1 1 X 0 1 0 X+1 X+1 X 1 0 X X 1 0 X+1
0 0 0 0 1 X 0 1 1 X+1 1 X+1 X X+1 1 1 X 0 X X+1 1 0 X 1 0 1 X X+1 0

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+149x^24+222x^26+194x^28+136x^30+141x^32+110x^34+58x^36+12x^38+1x^40

The gray image is a linear code over GF(2) with n=58, k=10 and d=24.
As d=24 is an upper bound for linear (58,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.10 in 0.015 seconds.