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 2 4 2 2 4 2 2 4 2 8 1 0 1 1 4 1 1 1 1 1 4 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 12 4 0 8 8 0 4 4 8 0 12 0 4 4 8 12 12 0 4 8 12 4 0 8 4 12 4 0 4 0 12 8 8 8 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 0 12 8 4 12 4 4 8 8 4 0 12 4 4 4 8 8 12 4 4 8 12 12 4 0 12 4 8 4 8 8 4 8 12 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 8 8 8 0 0 0 8 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 0 8 8 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 8 0 0 8 8 8 8 8 0 0 8 8 0 0 8 0 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 0 0 8 8 0 8 0 8 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 generates a code of length 55 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+212x^44+284x^46+8x^47+770x^48+96x^49+808x^50+672x^51+2787x^52+2976x^53+5386x^54+4784x^55+5365x^56+2976x^57+2680x^58+672x^59+1209x^60+96x^61+456x^62+8x^63+307x^64+112x^66+74x^68+2x^70+21x^72+5x^76+1x^84 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 26 seconds.