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 1 1 1 1 1 1 1 1 1 2 4 1 2 2 2 4 2 1 1 2 2 4 1 1 1 0 12 0 0 0 0 0 0 0 0 0 12 12 4 4 12 8 12 12 4 4 4 4 4 8 12 8 12 0 12 4 8 4 0 0 4 0 8 4 12 8 8 4 12 4 8 12 0 4 0 4 0 12 0 0 0 0 12 0 0 0 0 0 0 0 4 0 4 4 4 8 12 8 4 4 8 12 8 12 12 4 4 0 4 12 8 0 0 4 12 0 0 8 0 12 0 4 8 8 4 4 8 4 0 4 4 4 0 4 0 0 0 0 12 0 0 0 4 12 12 4 12 0 12 0 8 0 0 8 4 4 8 12 4 8 4 4 8 4 4 4 12 0 0 8 0 8 4 4 8 12 4 8 4 0 12 4 12 4 4 0 0 12 8 0 0 0 0 0 12 0 4 4 4 0 8 8 8 0 4 4 12 12 12 0 4 0 0 12 0 4 8 0 12 8 12 8 0 4 8 8 4 8 0 4 12 0 8 4 0 4 0 4 4 0 4 8 0 4 8 0 0 0 0 0 12 4 8 4 4 0 0 12 12 4 8 0 12 8 8 4 0 4 8 12 12 4 12 8 12 12 12 8 8 8 12 12 8 8 0 8 0 12 0 8 8 0 12 8 0 12 4 4 8 8 0 0 0 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 0 8 0 8 8 0 8 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 0 generates a code of length 55 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+68x^44+108x^45+206x^46+270x^47+327x^48+448x^49+508x^50+800x^51+1374x^52+3038x^53+5752x^54+7078x^55+5609x^56+3046x^57+1453x^58+834x^59+510x^60+390x^61+312x^62+196x^63+166x^64+130x^65+78x^66+38x^67+8x^68+8x^69+10x^70+1x^72+1x^90 The gray image is a code over GF(2) with n=440, k=15 and d=176. This code was found by Heurico 1.16 in 21.9 seconds.