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 2 2 2 1 1 1 1 2 1 2 2 2 1 4 0 1 1 1 2 2 2 2 4 1 1 2 1 4 2 1 4 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 12 12 4 12 4 0 12 4 8 8 0 12 0 12 12 8 4 12 0 12 4 8 12 8 0 4 4 12 4 8 4 8 8 12 4 12 4 8 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 0 0 4 4 12 8 0 12 4 4 12 0 0 0 8 4 12 8 4 0 8 8 8 12 12 12 4 4 4 4 12 4 4 0 12 0 12 4 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 0 8 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 0 0 8 8 0 0 0 8 8 8 8 0 0 0 8 8 0 8 0 8 0 0 8 0 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 0 8 0 8 8 0 8 8 8 0 0 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 8 8 0 0 8 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 8 0 8 8 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 8 0 0 8 8 generates a code of length 56 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+64x^44+278x^46+24x^47+469x^48+164x^49+664x^50+532x^51+1209x^52+1792x^53+3099x^54+5680x^55+4738x^56+5672x^57+3259x^58+1800x^59+1198x^60+544x^61+678x^62+152x^63+408x^64+20x^65+166x^66+4x^67+85x^68+39x^70+16x^72+7x^74+4x^76+2x^78 The gray image is a code over GF(2) with n=448, k=15 and d=176. This code was found by Heurico 1.16 in 22.6 seconds.