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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 4 2 2 2 2 1 2 1 2 1 1 2 2 4 2 1 2 4 1 1 1 2 1 1 1 1 1 1 2 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 4 4 4 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 4 0 0 0 4 0 4 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 0 0 4 4 4 0 0 0 4 0 4 4 4 0 4 4 4 4 4 4 4 0 0 4 4 0 4 4 0 4 4 0 4 4 4 0 0 4 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 0 0 4 4 4 0 4 0 4 4 0 4 0 0 4 4 4 0 0 4 4 0 0 4 0 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 4 0 4 0 0 0 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 0 0 4 0 4 0 0 4 0 0 4 4 4 4 4 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 4 0 0 0 4 0 4 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 0 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 4 0 0 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 4 0 0 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 0 0 4 0 0 0 4 4 4 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 4 4 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 4 4 4 4 4 0 4 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 0 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 4 0 0 0 4 0 0 4 0 0 4 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 0 4 0 4 4 4 0 4 0 4 0 4 4 4 4 0 4 0 4 0 4 0 4 4 generates a code of length 89 over Z8 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+64x^74+130x^76+144x^78+220x^80+261x^82+341x^84+955x^86+1996x^88+2048x^90+951x^92+329x^94+259x^96+155x^98+100x^100+82x^102+61x^104+42x^106+28x^108+9x^110+6x^112+6x^114+1x^116+1x^118+1x^120+1x^140 The gray image is a code over GF(2) with n=356, k=13 and d=148. This code was found by Heurico 1.16 in 35.4 seconds.