The generator matrix 1 0 1 1 1 3X+2 1 1 2 1 1 3X 1 1 2X 1 1 X+2 1 1 1 1 2X+2 X 1 1 1 1 0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 2X+1 1 2X 3X+1 1 X+2 3 1 2X+2 X 3X+3 1 1 1 0 3X+2 2 3X 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+32x^27+188x^28+32x^29+1x^32+2x^40 The gray image is a code over GF(2) with n=224, k=8 and d=108. This code was found by Heurico 1.16 in 1.05e-007 seconds.