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 1 1 4 1 1 2 0 1 2 4 2 1 4 1 1 2 4 1 2 0 4 2 0 2 1 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 12 8 0 12 12 4 12 4 0 12 4 8 4 8 12 12 0 12 4 4 0 4 12 12 8 8 12 0 8 4 8 4 4 4 4 4 8 4 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 0 4 8 0 0 4 4 12 8 0 12 4 4 8 12 8 12 0 12 0 12 12 0 8 12 4 12 8 4 12 4 12 8 4 12 8 4 0 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 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 0 8 0 8 0 8 8 0 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 8 0 8 0 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 8 0 0 8 8 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 8 8 8 0 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 8 8 0 8 8 0 8 8 8 0 0 8 8 0 0 8 8 0 0 0 8 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 8 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 8 8 0 0 8 0 8 0 0 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 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 0 8 0 8 8 0 0 generates a code of length 54 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+53x^42+40x^43+153x^44+132x^45+323x^46+370x^47+625x^48+674x^49+1491x^50+2184x^51+3329x^52+4780x^53+4452x^54+4740x^55+3323x^56+2276x^57+1549x^58+728x^59+603x^60+284x^61+248x^62+122x^63+126x^64+42x^65+57x^66+8x^67+27x^68+4x^69+16x^70+5x^72+2x^74+1x^78 The gray image is a code over GF(2) with n=432, k=15 and d=168. This code was found by Heurico 1.16 in 21.4 seconds.