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 4 4 1 4 1 4 1 2 2 1 4 2 1 4 4 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 0 4 4 12 12 4 0 4 0 12 12 12 0 8 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 12 4 0 4 8 4 12 0 12 12 8 8 4 0 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 4 0 4 12 4 0 4 0 4 12 4 8 8 4 4 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 8 0 8 8 0 8 8 0 0 8 0 8 0 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 8 8 0 0 8 0 0 0 0 0 0 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 0 8 8 8 8 0 0 0 0 0 8 0 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 0 8 8 0 8 8 0 8 0 0 0 0 8 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+158x^42+363x^44+88x^45+632x^46+752x^47+867x^48+2200x^49+1137x^50+4144x^51+1022x^52+2248x^53+862x^54+720x^55+537x^56+72x^57+350x^58+16x^59+133x^60+58x^62+18x^64+3x^66+2x^68+1x^72 The gray image is a code over GF(2) with n=408, k=14 and d=168. This code was found by Heurico 1.16 in 5.5 seconds.