The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 1 1 0 1 1 1 1 1 1 6 0 1 1 1 0 0 1 1 1 0 1 3 6 1 1 0 3 1 6 5 1 0 5 1 6 3 0 3 6 5 1 1 0 3 6 2 1 3 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 4 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 4 4 4 0 0 4 4 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 4 4 0 0 4 4 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 4 4 0 0 4 4 0 generates a code of length 31 over Z8 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+28x^22+110x^24+32x^25+276x^26+320x^27+632x^28+992x^29+1017x^30+1408x^31+995x^32+992x^33+625x^34+320x^35+276x^36+32x^37+90x^38+30x^40+10x^42+4x^44+1x^46+1x^50 The gray image is a code over GF(2) with n=124, k=13 and d=44. This code was found by Heurico 1.16 in 0.976 seconds.