The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 1 1 0 2 1 1 1 0 2 0 1 2 1 1 0 2 0 6 0 6 0 6 0 6 4 0 6 2 6 6 6 2 0 2 6 0 0 4 2 6 2 4 4 6 6 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 0 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 4 4 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 4 0 4 4 0 0 4 0 4 4 4 0 0 0 generates a code of length 31 over Z8 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+157x^24+160x^26+128x^27+351x^28+512x^29+304x^30+768x^31+493x^32+512x^33+256x^34+128x^35+214x^36+48x^38+53x^40+11x^44 The gray image is a code over GF(2) with n=124, k=12 and d=48. This code was found by Heurico 1.16 in 5.81 seconds.