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 2 2 2 2 4 1 1 2 4 1 0 1 1 1 2 2 4 0 1 4 1 4 1 1 1 1 2 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 12 12 4 12 4 0 12 4 8 4 12 4 0 0 4 8 4 12 12 4 12 4 0 8 0 12 12 0 4 0 4 4 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 0 0 4 4 12 8 0 12 4 4 0 12 8 12 12 12 0 8 12 8 0 12 12 4 12 0 12 12 0 12 4 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 0 0 8 8 0 0 8 0 0 8 8 0 0 0 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 0 0 8 8 0 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 0 8 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 8 8 0 8 8 0 8 8 8 0 8 0 8 0 0 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+167x^40+244x^42+16x^43+695x^44+128x^45+906x^46+1216x^47+1778x^48+4992x^49+2292x^50+7776x^51+2511x^52+4992x^53+1660x^54+1216x^55+1098x^56+128x^57+452x^58+16x^59+317x^60+74x^62+73x^64+4x^66+13x^68+3x^72 The gray image is a code over GF(2) with n=408, k=15 and d=160. This code was found by Heurico 1.16 in 20.2 seconds.