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 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 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 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 0 0 4 0 4 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 4 0 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 4 4 0 4 0 4 0 0 4 0 0 4 4 0 0 0 0 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 0 0 0 4 4 4 4 0 0 0 0 0 0 4 0 4 4 0 4 4 0 0 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 0 4 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 4 4 4 4 4 0 4 4 4 4 0 4 4 4 0 0 0 4 0 4 4 4 0 0 0 4 0 0 4 0 4 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 0 4 4 4 4 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 0 0 4 0 4 0 0 0 0 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 0 4 0 0 4 0 0 0 4 0 0 0 4 4 0 0 0 4 0 4 0 4 0 4 0 4 4 4 4 4 4 0 0 4 0 4 4 0 0 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 0 4 4 0 4 4 0 4 4 0 0 4 0 0 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 4 4 0 0 0 0 4 4 0 4 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 4 4 0 4 4 0 0 4 0 0 4 0 4 0 0 0 0 4 4 0 4 4 0 4 0 0 0 0 4 4 4 0 4 4 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 0 4 0 0 0 4 4 4 0 4 4 0 4 0 0 4 0 4 0 0 0 0 0 4 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 4 4 0 4 4 4 4 4 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 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 4 4 0 4 0 0 0 4 0 4 4 4 4 4 4 0 0 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 generates a code of length 81 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+90x^56+272x^60+428x^64+645x^68+882x^72+144x^74+1561x^76+1344x^78+3118x^80+16384x^81+2016x^82+2350x^84+576x^86+1081x^88+16x^90+780x^92+545x^96+355x^100+122x^104+51x^108+3x^112+2x^116+1x^120+1x^144 The gray image is a code over GF(2) with n=324, k=15 and d=112. This code was found by Heurico 1.16 in 98.7 seconds.