The generator matrix 1 1 X X 1 1 0 X X 0 0 0 0 0 X^2 X^2+2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 generates a code of length 6 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+24x^2+16x^3+103x^4+304x^5+1152x^6+304x^7+103x^8+16x^9+24x^10+1x^12 The gray image is a code over GF(2) with n=48, k=11 and d=8. This code was found by Heurico 1.16 in 1.05e-007 seconds.