The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 4 2 1 1 1 1 4 2 0 12 0 4 0 0 4 12 8 12 8 0 12 0 0 8 0 4 12 4 4 0 8 4 4 4 8 0 0 12 4 0 12 4 8 4 4 4 0 0 0 8 4 12 12 8 12 12 12 12 8 4 4 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 0 8 8 8 0 8 0 0 8 8 0 generates a code of length 27 over Z16 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+48x^21+74x^22+114x^23+68x^24+596x^25+164x^26+2082x^27+24x^28+588x^29+124x^30+102x^31+31x^32+44x^33+20x^34+6x^35+4x^37+2x^38+4x^40 The gray image is a code over GF(2) with n=216, k=12 and d=84. This code was found by Heurico 1.16 in 75.7 seconds.