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 2 2 0 4 2 0 2 4 0 1 1 2 1 2 1 2 2 0 1 2 4 1 4 1 1 4 1 2 2 1 4 1 4 4 1 1 1 2 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 6 4 4 6 2 2 2 2 0 4 0 0 2 0 6 2 4 0 2 6 2 2 2 2 6 4 2 4 2 0 0 4 4 2 6 2 4 0 2 6 2 2 6 6 6 2 0 2 0 6 4 4 4 0 0 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 0 4 2 0 2 4 6 6 0 6 4 6 0 6 4 2 2 2 6 0 4 2 2 0 6 0 2 6 2 0 6 2 2 6 0 2 4 2 6 0 0 0 4 2 6 6 0 4 2 0 2 6 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 4 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 4 0 4 0 4 0 4 4 0 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 0 0 0 4 0 4 4 0 0 4 4 4 0 0 4 0 4 0 4 0 4 0 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 4 0 0 4 4 0 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 0 4 4 4 0 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 4 4 0 4 0 4 0 4 4 0 0 0 4 4 0 4 0 0 4 0 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 0 generates a code of length 70 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+78x^56+132x^58+446x^60+556x^62+1210x^64+1766x^66+2600x^68+2810x^70+2698x^72+1736x^74+1195x^76+520x^78+345x^80+142x^82+86x^84+18x^86+34x^88+9x^92+2x^96 The gray image is a code over GF(2) with n=280, k=14 and d=112. This code was found by Heurico 1.16 in 18.7 seconds.