The generator matrix

 1  0  1  1  1  1
 0  1 X+1 X^2+X X^2+1 X^3+X^2

generates a code of length 6 over Z2[X]/(X^4) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+68x^5+117x^6+68x^7+1x^8+1x^10

The gray image is a linear code over GF(2) with n=48, k=8 and d=20.
As d=22 is an upper bound for linear (48,8,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 8.
This code was found by Heurico 1.16 in -6.48e-008 seconds.