The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 2 1 0 X 0 X 2X 0 3X X 2 X+2 2 X+2 2X+2 2 3X+2 X+2 0 2X X 2X+2 X+2 0 2 3X+2 2X X 0 0 0 X X 2 X+2 X+2 2 2 3X+2 X 2X 0 X+2 3X 2X+2 2X 3X+2 2 2 X+2 2X+2 0 3X+2 X+2 2 0 generates a code of length 27 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+45x^24+166x^25+151x^26+320x^27+142x^28+148x^29+38x^30+4x^32+6x^33+2x^34+1x^50 The gray image is a code over GF(2) with n=216, k=10 and d=96. This code was found by Heurico 1.16 in 0.016 seconds.