The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 2 0 2 0 1 2 1 1 0 1 1 2 0 1 1 1 0 2 2 1 0 0 1 1 1 2 0 2 4 0 1 2 1 2 1 2 1 1 2 2 1 4 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 2 0 0 6 6 6 6 0 2 6 2 6 2 0 6 2 0 2 6 4 6 2 0 6 0 2 6 6 6 2 2 0 4 2 6 2 6 2 2 0 2 4 6 4 6 4 6 6 0 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 4 0 4 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 4 4 4 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 4 4 0 4 4 4 0 0 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 0 0 0 4 0 4 0 0 4 0 4 4 4 4 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 4 4 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 0 0 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 4 0 0 4 4 4 0 4 0 4 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 4 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 0 4 4 0 0 0 4 0 0 0 4 4 4 4 4 0 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 4 4 0 4 0 0 0 4 0 4 0 4 0 0 0 4 0 4 4 4 0 0 4 4 4 4 0 0 4 4 0 0 4 0 4 0 4 0 0 0 0 4 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 0 4 0 0 4 4 4 4 0 4 4 4 4 4 0 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 4 0 4 4 0 4 0 0 4 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 0 0 4 0 4 generates a code of length 72 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+152x^56+18x^58+554x^60+378x^62+1477x^64+1888x^66+3807x^68+4908x^70+6403x^72+4818x^74+3958x^76+1954x^78+1411x^80+348x^82+472x^84+24x^86+145x^88+40x^92+11x^96+1x^100 The gray image is a code over GF(2) with n=288, k=15 and d=112. This code was found by Heurico 1.16 in 78.6 seconds.