The generator matrix 1 0 0 0 0 0 0 0 1 1 2 1 1 0 1 2 1 0 2 1 1 2 1 1 2 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 3 2 1 2 3 1 3 2 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 3 1 2 2 0 2 3 1 3 2 0 3 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 3 1 1 2 2 0 1 2 3 3 2 2 1 1 0 0 0 0 0 1 0 0 0 1 1 2 1 2 3 3 2 3 1 3 1 0 3 0 2 0 1 0 0 0 0 0 0 1 0 0 1 2 1 3 0 1 0 2 0 3 0 1 1 1 0 2 0 1 0 0 0 0 0 0 0 1 0 1 3 3 2 1 1 3 1 1 2 2 1 1 3 3 0 1 0 0 0 0 0 0 0 0 0 1 2 1 3 3 0 1 1 1 1 1 3 0 0 2 2 3 3 0 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+165x^16+122x^17+609x^18+708x^19+1553x^20+1744x^21+2961x^22+3722x^23+4844x^24+6304x^25+6324x^26+7532x^27+6130x^28+6316x^29+4862x^30+3784x^31+2976x^32+1766x^33+1602x^34+624x^35+573x^36+132x^37+153x^38+14x^39+14x^40+1x^50 The gray image is a code over GF(2) with n=54, k=16 and d=16. This code was found by Heurico 1.10 in 49.1 seconds.