The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X 1 1 1 1 1 1 1 1 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X X X X X X X X X X^2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 generates a code of length 48 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+121x^48+6x^56 The gray image is a code over GF(2) with n=384, k=7 and d=192. This code was found by Heurico 1.16 in 0.046 seconds.