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 2 1 0 1 1 12 2 2 4 0 2 2 1 12 1 2 0 1 1 2 0 1 0 2 0 0 0 0 0 0 0 10 6 10 14 2 6 10 12 6 14 6 8 2 8 12 6 14 8 4 2 6 4 4 4 6 8 2 12 0 12 2 8 8 2 2 4 0 12 8 0 0 2 0 0 8 10 6 6 2 6 0 2 14 8 8 2 14 12 0 12 10 12 12 6 8 6 2 4 4 0 2 8 4 2 10 12 10 10 14 0 4 2 12 2 0 0 8 0 0 0 2 0 10 10 10 8 2 14 8 4 0 6 6 6 4 2 10 12 14 6 10 4 0 6 10 0 2 0 4 4 8 0 10 14 14 4 2 12 2 0 8 6 0 2 12 0 0 0 0 2 2 8 10 2 14 8 14 2 4 2 12 4 12 10 8 8 0 6 8 14 2 4 10 2 4 14 6 14 4 4 8 8 0 6 10 14 6 14 12 10 10 12 4 generates a code of length 48 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+186x^40+704x^41+1072x^42+1768x^43+2866x^44+4536x^45+6532x^46+9602x^47+10680x^48+9686x^49+7071x^50+4670x^51+2659x^52+1622x^53+938x^54+560x^55+215x^56+106x^57+35x^58+22x^59+2x^61+2x^63+1x^68 The gray image is a code over GF(2) with n=384, k=16 and d=160. This code was found by Heurico 1.16 in 46.6 seconds.