The generator matrix 1 0 0 1 1 1 0 1 1 1 0 1 2 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 3 1 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 1 1 1 0 1 0 1 1 2 0 3 1 1 2 0 1 0 1 0 0 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 generates a code of length 27 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+48x^16+56x^17+138x^18+68x^19+130x^20+284x^21+290x^22+480x^23+470x^24+688x^25+1040x^26+968x^27+886x^28+664x^29+380x^30+448x^31+423x^32+312x^33+162x^34+84x^35+70x^36+44x^37+34x^38+18x^40+4x^42+2x^44 The gray image is a code over GF(2) with n=54, k=13 and d=16. This code was found by Heurico 1.16 in 1.7 seconds.