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 2 1 1 1 1 2 2 1 1 1 1 4 0 1 1 4 1 2 1 0 1 4 1 1 2 1 1 4 1 1 2 0 12 0 12 0 12 0 12 0 4 8 0 12 12 4 0 8 0 8 0 12 0 12 12 12 4 4 12 12 0 8 0 0 12 4 12 12 12 8 12 4 4 4 12 8 12 12 12 12 12 12 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 8 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 8 8 8 0 8 8 0 8 0 0 8 0 0 8 8 0 0 0 8 8 8 8 8 8 8 8 8 0 8 0 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 8 8 0 0 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 0 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+120x^44+84x^46+32x^47+313x^48+320x^49+248x^50+1504x^51+293x^52+2432x^53+224x^54+1504x^55+309x^56+320x^57+200x^58+32x^59+178x^60+12x^62+47x^64+17x^68+1x^72+1x^80 The gray image is a code over GF(2) with n=424, k=13 and d=176. This code was found by Heurico 1.16 in 1.56 seconds.