The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 1 0 6 1 1 12 1 1 1 1 6 1 1 0 0 1 3 6 5 1 12 7 1 10 9 1 6 5 1 1 0 3 1 12 10 15 5 1 0 0 2 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 0 8 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 0 8 0 0 generates a code of length 27 over Z16 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+127x^20+16x^21+192x^22+416x^23+1741x^24+4080x^25+6112x^26+7360x^27+6230x^28+4080x^29+1600x^30+416x^31+301x^32+16x^33+32x^34+43x^36+5x^40 The gray image is a code over GF(2) with n=216, k=15 and d=80. This code was found by Heurico 1.16 in 18 seconds.