The generator matrix 1 1 1 1 1 1 1 1 1 1 2 8 1 8 1 2 1 1 2 1 1 1 2 2 1 2 1 0 2 0 6 0 14 0 6 14 4 6 2 0 2 2 6 2 4 14 10 8 6 6 2 12 12 8 0 0 12 0 0 0 12 4 12 8 0 8 4 12 4 8 0 8 12 8 12 12 12 12 4 4 0 0 0 0 12 0 0 0 0 0 0 8 8 12 12 12 12 8 12 0 4 12 8 12 12 8 0 0 0 0 0 0 12 4 12 12 8 12 0 4 0 12 12 4 12 4 0 4 4 8 0 12 4 4 4 0 0 0 0 0 8 8 8 0 8 8 8 8 0 8 8 0 0 8 8 8 0 8 8 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+31x^20+92x^21+262x^22+418x^23+734x^24+1708x^25+3113x^26+3780x^27+2986x^28+1694x^29+799x^30+394x^31+205x^32+88x^33+47x^34+16x^35+11x^36+2x^37+3x^38 The gray image is a code over GF(2) with n=216, k=14 and d=80. This code was found by Heurico 1.16 in 1.65 seconds.