The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 2 1 1 0 0 2 1 1 1 2 2 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 2 1 1 2 3 1 0 1 1 1 2 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 2 1 3 3 0 0 1 1 3 2 1 1 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 generates a code of length 28 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+66x^16+211x^18+96x^19+500x^20+480x^21+949x^22+1280x^23+1866x^24+2560x^25+2977x^26+3776x^27+3290x^28+3776x^29+2831x^30+2560x^31+1945x^32+1280x^33+1053x^34+480x^35+456x^36+96x^37+155x^38+58x^40+15x^42+10x^44+1x^46 The gray image is a code over GF(2) with n=56, k=15 and d=16. This code was found by Heurico 1.16 in 20.4 seconds.