The generator matrix 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 0 1 1 1 1 2 1 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 6 6 2 6 4 4 4 2 2 2 4 2 6 0 0 0 2 0 0 0 0 0 4 4 6 4 6 4 6 2 4 6 4 6 2 0 2 6 0 0 4 0 0 0 2 0 0 0 4 4 2 0 2 2 6 0 6 4 4 2 6 2 6 2 0 0 2 4 0 0 0 0 2 0 0 4 6 0 4 2 6 2 6 4 2 6 0 0 0 2 4 2 0 0 4 0 0 0 0 0 2 0 2 6 6 2 0 2 6 4 6 2 2 2 0 2 2 0 2 2 6 0 0 0 0 0 0 0 2 2 0 4 4 6 6 6 0 4 2 4 6 4 2 0 4 2 6 4 0 generates a code of length 27 over Z8 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+234x^18+723x^20+1410x^22+64x^23+2900x^24+1792x^25+6916x^26+4480x^27+7091x^28+1792x^29+3060x^30+64x^31+1363x^32+626x^34+201x^36+42x^38+8x^40+1x^44 The gray image is a code over GF(2) with n=108, k=15 and d=36. This code was found by Heurico 1.16 in 15.8 seconds.