The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 2 2 1 1 4 2 2 2 0 1 4 2 0 2 0 0 0 2 14 2 4 12 14 10 8 6 2 6 10 6 4 2 12 2 4 2 2 2 14 0 0 2 0 2 2 10 8 0 0 2 10 6 4 14 2 4 8 2 4 14 10 14 10 0 6 8 0 0 0 2 2 8 2 6 14 4 4 14 10 8 4 6 14 6 8 8 12 12 6 4 10 2 8 0 0 0 0 4 0 4 12 12 12 12 8 8 4 0 4 4 0 12 0 8 12 0 12 12 8 12 generates a code of length 27 over Z16 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+178x^21+541x^22+1028x^23+2021x^24+3878x^25+4996x^26+7218x^27+5358x^28+3946x^29+1979x^30+992x^31+392x^32+138x^33+62x^34+26x^35+4x^36+4x^37+6x^38 The gray image is a code over GF(2) with n=216, k=15 and d=84. This code was found by Heurico 1.16 in 6.8 seconds.