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 2 2 2 2 0 4 0 0 4 1 1 2 1 1 0 0 1 0 1 2 1 0 2 4 1 2 1 2 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 4 6 4 6 2 2 2 2 6 2 4 4 4 2 2 0 2 4 2 2 0 6 2 4 4 2 0 4 4 0 2 2 6 6 6 0 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 4 0 6 0 4 2 6 2 0 2 2 2 2 2 0 2 6 0 4 6 0 2 4 2 2 0 2 2 2 2 2 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 4 0 0 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 0 4 0 4 4 4 4 4 0 4 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 4 0 0 4 0 4 4 4 0 0 0 4 4 4 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 0 4 0 4 0 4 0 0 0 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 0 4 0 4 4 0 0 4 4 0 4 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 0 4 0 4 0 4 4 4 4 4 4 0 4 0 0 4 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 4 0 4 4 4 0 0 4 0 0 4 4 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 4 4 0 0 4 generates a code of length 51 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+152x^40+266x^42+40x^43+745x^44+208x^45+980x^46+464x^47+1766x^48+784x^49+2162x^50+1056x^51+2434x^52+880x^53+1608x^54+432x^55+1161x^56+176x^57+542x^58+56x^59+309x^60+68x^62+71x^64+6x^66+16x^68+1x^72 The gray image is a code over GF(2) with n=204, k=14 and d=80. This code was found by Heurico 1.16 in 12.2 seconds.