The generator matrix 1 0 0 0 0 0 1 1 1 1 0 1 1 1 2 0 2 1 2 2 1 2 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 3 1 1 1 2 2 2 3 0 1 1 3 0 2 0 0 0 1 0 0 0 0 1 1 2 1 2 0 3 1 1 3 2 0 1 3 1 3 0 2 0 3 0 0 0 0 1 0 0 0 1 2 1 3 3 2 2 1 1 0 3 1 1 2 0 1 2 0 1 3 0 0 0 0 0 1 0 1 0 1 3 1 3 2 1 1 2 1 1 1 1 0 0 2 0 1 2 0 0 0 0 0 0 0 1 1 3 2 0 3 1 3 3 0 3 1 3 2 2 1 2 2 0 3 1 2 1 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 generates a code of length 28 over Z4 who´s minimum homogenous weight is 19. Homogenous weight enumerator: w(x)=1x^0+38x^19+104x^20+214x^21+309x^22+376x^23+461x^24+622x^25+713x^26+704x^27+876x^28+912x^29+774x^30+644x^31+513x^32+384x^33+230x^34+154x^35+84x^36+42x^37+21x^38+4x^39+9x^40+2x^41+1x^42 The gray image is a code over GF(2) with n=56, k=13 and d=19. This code was found by Heurico 1.10 in 1.02 seconds.