The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 1 2 1 1 0 1 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1 1 1 0 2 1 1 1 0 2 1 1 2 1 1 1 1 1 0 1 0 2 0 1 1 1 1 2 1 0 1 1 1 1 2 2 2 1 2 1 1 1 1 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 0 4 2 6 6 0 2 4 6 6 6 0 2 4 0 6 6 4 4 4 6 6 6 2 6 4 2 4 6 6 4 2 6 0 2 2 2 6 2 6 4 6 4 6 0 4 2 2 2 0 2 0 0 0 6 6 4 2 0 2 2 6 6 6 4 0 6 0 0 0 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 4 4 4 4 4 0 4 0 4 4 4 0 4 0 4 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 0 4 4 0 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 4 4 4 0 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 0 0 0 0 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 4 0 0 4 4 0 0 0 4 4 0 4 4 0 0 0 0 0 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 4 4 4 4 4 0 4 0 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 4 0 4 4 4 4 0 0 4 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 4 0 0 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 4 4 4 4 0 4 4 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 0 0 0 4 0 0 4 0 0 0 4 4 4 4 0 0 0 4 4 4 4 0 0 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 4 0 0 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 4 0 4 4 0 4 4 0 0 0 4 0 4 4 0 4 4 4 0 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 4 4 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 4 0 4 4 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 4 4 4 0 4 0 4 4 0 4 4 0 0 4 0 0 4 0 0 0 0 4 4 4 0 4 0 0 4 0 0 0 4 0 4 4 4 0 4 4 0 0 4 0 4 0 0 4 0 4 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 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 0 4 4 0 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 4 4 0 4 4 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 0 0 0 4 0 4 0 0 4 4 4 0 0 4 4 4 4 4 4 0 0 4 4 0 4 4 4 0 0 0 4 4 0 0 0 0 4 0 4 0 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 0 4 0 0 4 4 0 4 0 0 4 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 4 4 4 0 0 0 0 4 0 4 4 0 4 0 4 4 0 4 0 0 0 4 4 4 0 0 0 4 0 4 0 4 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 0 0 4 0 0 4 4 4 0 4 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 0 4 4 4 0 4 4 4 4 4 0 0 4 4 0 0 4 0 4 4 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 0 generates a code of length 92 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+67x^68+6x^70+237x^72+50x^74+392x^76+150x^78+649x^80+410x^82+16x^83+1204x^84+144x^85+1332x^86+576x^87+2684x^88+1344x^89+3088x^90+2016x^91+4041x^92+2016x^93+3146x^94+1344x^95+2706x^96+576x^97+1290x^98+144x^99+1135x^100+16x^101+450x^102+593x^104+226x^106+349x^108+68x^110+167x^112+24x^114+70x^116+34x^120+5x^124+1x^128+1x^140 The gray image is a code over GF(2) with n=368, k=15 and d=136. This code was found by Heurico 1.16 in 99.3 seconds.