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 2 2 4 2 2 1 1 1 2 4 2 2 2 0 1 8 1 1 1 1 1 2 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 8 12 12 0 12 4 8 4 0 12 12 8 8 0 4 0 4 4 12 4 8 0 12 4 8 4 8 12 4 4 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 8 4 0 12 0 12 8 4 4 4 12 12 4 8 4 4 0 12 12 0 12 8 4 12 4 0 12 12 12 4 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 4 4 4 12 8 0 8 8 12 12 12 12 8 12 0 0 12 0 12 4 12 4 4 0 12 4 0 0 4 8 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 0 8 8 8 8 8 8 8 0 8 8 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 0 8 0 8 generates a code of length 53 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+185x^44+367x^46+48x^47+528x^48+240x^49+1145x^50+1440x^51+2963x^52+2656x^53+2906x^54+1520x^55+1104x^56+176x^57+502x^58+64x^59+263x^60+183x^62+68x^64+17x^66+5x^68+2x^72+1x^80 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 5.88 seconds.