The generator matrix 1 0 1 1 1 0 1 1 0 1 2 1 2 1 1 1 4 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 4 3 1 6 1 7 1 5 0 3 1 1 0 6 7 6 4 7 7 1 1 0 0 2 0 0 0 0 0 0 0 0 4 0 6 2 2 2 2 6 4 4 2 4 2 4 4 2 0 0 0 2 0 0 0 0 2 6 6 6 4 6 6 4 4 0 2 2 2 2 2 0 4 0 0 0 0 0 0 2 0 4 6 0 4 0 2 4 4 6 0 2 6 6 0 6 4 0 0 0 6 2 0 0 0 0 0 2 6 6 6 2 4 2 6 0 2 2 2 4 4 2 6 4 4 0 6 2 4 generates a code of length 27 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+177x^20+40x^21+652x^22+352x^23+1500x^24+1560x^25+2754x^26+2240x^27+2845x^28+1560x^29+1532x^30+352x^31+601x^32+40x^33+146x^34+26x^36+4x^38+1x^40+1x^48 The gray image is a code over GF(2) with n=108, k=14 and d=40. This code was found by Heurico 1.16 in 3.47 seconds.