The generator matrix 1 1 1 1 1 1 1 1 1 1 2 2 4 2 2 1 1 1 1 2 0 2 0 0 1 1 1 0 2 0 0 0 2 6 2 12 0 4 12 2 6 14 0 14 10 8 8 2 12 2 12 12 14 8 0 0 2 0 2 2 2 4 6 2 6 2 12 0 14 4 6 12 0 6 6 12 10 2 2 2 8 0 0 0 2 2 0 2 6 14 4 2 4 14 0 14 4 2 10 10 8 8 2 2 6 4 0 8 0 0 0 0 4 0 0 0 8 8 0 8 0 8 12 4 12 12 12 12 8 12 8 12 12 8 0 0 0 0 0 0 8 8 0 8 8 0 0 8 8 8 8 0 0 0 8 8 8 0 0 0 0 0 generates a code of length 27 over Z16 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+113x^20+434x^21+961x^22+1830x^23+3936x^24+7678x^25+10307x^26+14854x^27+10419x^28+7830x^29+3983x^30+1810x^31+854x^32+338x^33+109x^34+34x^35+36x^36+8x^37+1x^40 The gray image is a code over GF(2) with n=216, k=16 and d=80. This code was found by Heurico 1.16 in 20.3 seconds.