The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 1 0 6 1 1 1 1 12 10 1 1 1 0 6 1 1 1 1 1 12 1 0 1 1 1 10 0 1 1 1 1 1 6 1 1 1 1 1 1 1 0 1 3 6 5 1 12 7 1 10 9 1 0 3 1 1 6 5 10 15 1 1 12 9 0 1 1 6 3 5 12 9 1 10 1 12 15 5 1 1 3 10 3 9 6 1 3 15 11 6 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 0 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 0 8 8 0 8 8 0 0 0 8 0 8 8 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 8 8 8 0 8 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 8 0 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 8 8 8 0 8 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 0 8 0 8 0 0 8 0 8 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 0 8 8 8 8 0 0 generates a code of length 53 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+45x^44+16x^45+66x^46+152x^47+491x^48+752x^49+1024x^50+2024x^51+2240x^52+2816x^53+2180x^54+2024x^55+1069x^56+752x^57+432x^58+152x^59+97x^60+16x^61+10x^62+12x^64+6x^68+3x^72+4x^76 The gray image is a code over GF(2) with n=424, k=14 and d=176. This code was found by Heurico 1.16 in 2.69 seconds.