The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 2 2 1 1 1 1 4 2 2 1 0 2 0 0 0 0 0 0 0 0 0 6 4 4 2 2 2 2 2 2 4 6 2 0 4 2 0 4 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 6 4 2 6 6 2 6 6 0 4 4 0 0 6 4 2 4 0 0 0 0 2 0 0 0 2 6 2 2 6 2 2 4 0 2 0 6 4 6 4 6 0 2 6 6 2 4 0 0 0 0 0 0 2 0 2 2 2 4 4 0 0 2 6 4 4 6 4 2 0 2 0 4 2 6 0 4 4 6 0 0 0 0 0 0 2 2 4 6 2 4 4 2 6 4 0 6 6 2 4 4 6 4 2 2 2 2 6 4 2 4 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 0 0 4 4 0 4 0 4 4 4 0 4 0 4 0 4 generates a code of length 31 over Z8 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+78x^22+124x^23+204x^24+362x^25+479x^26+686x^27+1121x^28+1608x^29+2242x^30+2486x^31+2186x^32+1864x^33+1107x^34+638x^35+513x^36+304x^37+167x^38+94x^39+69x^40+22x^41+18x^42+4x^43+2x^44+5x^46 The gray image is a code over GF(2) with n=124, k=14 and d=44. This code was found by Heurico 1.16 in 5.37 seconds.