The generator matrix 1 1 1 1 1 1 1 1 X X 1 1 X X X X 1 1 1 1 X X 1 1 0 2 0 2 2X 2X+2 2X 2X+2 2 2 0 0 2X 2X+2 0 2X+2 2X 2X 2 2X+2 0 2X 2 2X+2 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X generates a code of length 24 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+124x^24+3x^32 The gray image is a code over GF(2) with n=192, k=7 and d=96. This code was found by Heurico 1.16 in 6.87e-008 seconds.