The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 6 1 1 4 1 0 0 1 1 0 2 2 1 1 0 1 1 0 1 1 0 3 1 6 3 1 6 5 1 0 7 1 4 1 0 1 6 1 0 0 3 0 0 0 2 0 0 0 0 2 2 6 0 6 2 4 6 0 2 6 6 6 4 0 6 4 2 6 0 0 0 0 0 2 0 0 0 0 0 0 4 4 6 6 2 6 2 6 4 2 2 6 4 6 0 0 2 0 0 0 0 0 2 6 6 2 2 2 0 4 4 2 0 6 6 2 4 0 0 0 4 4 6 4 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 4 0 0 4 4 4 0 4 0 0 4 0 0 4 0 4 0 4 0 0 4 generates a code of length 28 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+58x^20+118x^21+249x^22+508x^23+697x^24+1262x^25+1835x^26+2100x^27+2516x^28+2402x^29+1797x^30+1236x^31+768x^32+426x^33+209x^34+124x^35+53x^36+16x^37+6x^38+2x^40+1x^44 The gray image is a code over GF(2) with n=112, k=14 and d=40. This code was found by Heurico 1.16 in 3.27 seconds.