The generator matrix 1 0 0 0 1 1 1 6 1 1 1 1 2 2 6 0 2 2 2 1 1 1 0 1 1 6 1 0 1 0 0 0 1 1 1 6 7 6 7 1 2 1 1 1 2 4 3 5 3 2 0 2 2 7 0 0 1 0 1 1 0 1 0 4 3 3 4 1 1 1 2 4 1 1 7 0 6 7 6 1 4 0 0 0 1 1 0 1 1 3 6 4 1 5 7 4 1 0 1 7 6 1 0 1 5 0 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 4 0 0 4 0 0 4 4 0 0 0 0 4 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 4 0 4 generates a code of length 27 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+146x^20+352x^21+885x^22+1628x^23+2582x^24+3632x^25+4412x^26+5100x^27+4880x^28+3776x^29+2554x^30+1556x^31+735x^32+304x^33+148x^34+36x^35+38x^36+1x^38+2x^40 The gray image is a code over GF(2) with n=108, k=15 and d=40. This code was found by Heurico 1.16 in 9.44 seconds.