The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  X  0  X  0  X  0  X  X  X  0  X  X  X  0  X  X  X  X  X  0  X  0  X  X  X  X  0  X  0  X  0  X  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  X  0  X  0  X  0  X  X  X  0  X  X  X  0  X  X  X  0  X  X  X  0  X  X  X  0  X  X  X  X  X  X  X  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  0  X  X  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  X  X  X  X  X  0  X  0  0  0  0  X  0  X  X  0  0  0  X  X  0
 0  0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  X  0  X  X  0  X  X  X  0  X  X  X  X  0  X  0  X  X  X  0  X
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  X  0  X  X  0  0  0  0  0  0  0  0  X  X  0  0  X  0  X  0  X  X  0  X  X  0
 0  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  0  0  X  X  X  X  X  0  X  X  X  0  0  0  X  X  X  0  0  X  0  0  0  0  0  X  X  0

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+63x^60+128x^62+63x^64+1x^124

The gray image is a linear code over GF(2) with n=124, k=8 and d=60.
As d=60 is an upper bound for linear (124,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.047 seconds.