The generator matrix 1 1 1 1 1 1 1 1 1 1 X X 1 1 X 1 X X X 1 2X+2 2X+2 X 2X+2 2X+2 2X+2 2X+2 2X+2 0 2 0 2 2X 2X+2 2X 2X+2 0 2 2 2 0 2 0 2X 2X+2 2X 2X+2 2X 2 2 0 2X 2X+2 0 2X 2X+2 0 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 generates a code of length 28 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+28x^27+84x^28+8x^30+3x^32+4x^35 The gray image is a code over GF(2) with n=224, k=7 and d=108. This code was found by Heurico 1.16 in 0.032 seconds.