The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 4 1 1 2 1 2 1 1 1 1 0 4 1 2 0 1 4 1 1 1 2 1 2 2 0 12 0 12 0 12 0 12 0 12 8 4 0 12 0 8 12 4 0 8 0 12 12 12 12 12 12 12 0 12 8 4 12 12 12 0 4 12 0 12 4 8 12 4 4 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 0 0 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 0 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 0 0 8 0 0 8 0 8 0 0 0 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 8 0 8 0 8 0 0 8 8 8 8 8 0 8 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 8 8 8 0 0 8 0 8 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 8 0 0 0 8 0 8 8 8 0 8 0 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 0 8 0 0 8 0 8 8 0 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 0 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 0 0 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 0 0 8 8 generates a code of length 50 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+172x^40+136x^42+453x^44+64x^45+616x^46+832x^47+2205x^48+2176x^49+3088x^50+2176x^51+2215x^52+832x^53+656x^54+64x^55+403x^56+104x^58+139x^60+8x^62+34x^64+9x^68+1x^72 The gray image is a code over GF(2) with n=400, k=14 and d=160. This code was found by Heurico 1.16 in 15.4 seconds.