The generator matrix 1 0 1 1 1 0 1 1 0 1 1 4 1 1 0 1 4 1 1 0 4 4 2 1 0 2 2 0 1 1 0 1 1 3 0 1 4 7 1 3 6 1 0 1 4 7 1 2 1 4 6 1 1 0 0 0 2 0 0 0 0 6 6 0 2 4 6 4 2 6 2 2 0 6 0 4 4 0 0 6 2 0 0 0 2 0 6 2 6 6 0 6 4 6 2 0 4 4 0 2 2 2 6 2 6 0 2 6 0 0 0 0 2 0 2 6 6 2 2 2 0 6 6 6 4 4 4 0 4 2 2 2 0 6 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 4 0 0 4 0 0 4 0 4 4 0 0 generates a code of length 27 over Z8 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+173x^18+20x^19+756x^20+472x^21+2145x^22+2536x^23+4765x^24+7800x^25+8324x^26+11152x^27+8741x^28+7688x^29+5066x^30+2648x^31+1933x^32+424x^33+637x^34+28x^35+182x^36+37x^38+5x^40+2x^42+1x^44 The gray image is a code over GF(2) with n=108, k=16 and d=36. This code was found by Heurico 1.16 in 43.1 seconds.