The generator matrix 1 0 0 1 1 1 2 1 4 1 0 1 1 0 0 1 1 0 1 1 2 1 0 1 0 6 6 1 2 1 0 1 0 1 0 1 1 0 4 1 1 5 4 1 1 2 4 1 4 5 1 0 2 4 6 1 1 0 1 0 0 0 1 1 1 0 1 2 1 1 2 0 1 1 3 7 5 5 0 3 4 1 1 0 1 7 3 1 0 0 0 0 0 2 0 0 0 6 6 6 0 6 4 2 0 4 2 4 0 2 2 6 4 2 6 2 4 4 2 4 0 0 0 0 2 0 0 4 0 6 6 2 6 6 4 4 2 2 2 4 0 0 4 6 2 2 6 4 0 0 0 0 0 0 0 2 0 0 0 0 4 6 6 6 6 6 2 4 0 2 6 4 2 2 2 4 2 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 generates a code of length 30 over Z8 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+52x^21+175x^22+430x^23+881x^24+1990x^25+2751x^26+5430x^27+6006x^28+10516x^29+8972x^30+10396x^31+6103x^32+5760x^33+2809x^34+1844x^35+806x^36+360x^37+133x^38+70x^39+23x^40+10x^41+7x^42+6x^43+4x^44+1x^50 The gray image is a code over GF(2) with n=120, k=16 and d=42. This code was found by Heurico 1.16 in 43.2 seconds.