The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 0 2 0 2 0 0 0 0 0 0 0 2 2 6 2 4 4 0 6 6 4 4 2 2 2 0 0 2 6 0 0 2 0 0 0 2 6 2 4 2 2 0 0 6 0 6 2 2 6 6 2 4 2 4 6 6 0 0 0 2 0 2 2 2 4 4 4 4 6 2 6 4 4 2 4 2 0 2 4 6 0 0 6 0 0 0 0 2 2 0 2 6 2 0 2 4 4 0 2 4 0 6 6 4 2 4 0 2 6 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 4 4 4 0 4 4 0 0 0 0 4 4 generates a code of length 27 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+199x^20+386x^22+796x^24+384x^25+1682x^26+1280x^27+1744x^28+384x^29+726x^30+426x^32+150x^34+33x^36+1x^48 The gray image is a code over GF(2) with n=108, k=13 and d=40. This code was found by Heurico 1.16 in 1.19 seconds.