The generator matrix 1 0 0 1 1 1 2 1 1 1 1 2 0 2 1 1 1 1 1 1 1 1 1 1 2 2 1 0 1 0 0 1 3 1 2 2 1 3 1 1 2 0 0 3 1 2 2 3 1 2 2 1 1 0 0 0 1 1 3 0 1 2 1 3 2 2 1 1 0 2 0 2 2 0 2 0 1 3 1 3 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+15x^24+30x^25+21x^26+16x^27+14x^28+12x^29+4x^30+2x^32+6x^33+5x^34+2x^38 The gray image is a code over GF(2) with n=54, k=7 and d=24. This code was found by Heurico 1.16 in 0.00277 seconds.