The generator matrix 1 0 1 1 1 0 1 1 2 1 6 1 1 1 1 4 1 0 1 6 1 1 0 1 1 1 2 1 1 1 1 0 1 1 0 3 1 2 3 1 6 1 5 0 4 3 1 7 1 2 1 1 7 1 7 3 0 2 6 4 6 0 0 0 2 6 0 6 2 6 2 0 4 0 4 2 0 2 2 0 6 4 2 6 0 6 4 0 2 4 6 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 4 0 4 4 0 0 4 0 4 0 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 0 4 4 0 0 4 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 0 4 4 4 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 4 4 4 4 0 4 0 0 4 0 0 0 4 0 4 4 generates a code of length 31 over Z8 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+28x^22+84x^23+129x^24+180x^25+574x^26+406x^27+1806x^28+844x^29+3620x^30+1044x^31+3593x^32+852x^33+1816x^34+456x^35+573x^36+164x^37+96x^38+56x^39+37x^40+8x^41+10x^42+2x^43+4x^44+1x^52 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 3.64 seconds.