The generator matrix

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

generates a code of length 6 over Z2[X]/(X^4) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+174x^2+1568x^3+9535x^4+43232x^5+153124x^6+43232x^7+9535x^8+1568x^9+174x^10+1x^12

The gray image is a linear code over GF(2) with n=48, k=18 and d=8.
This code was found by Heurico 1.16 in 7.84 seconds.