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 1 1 1 1 1 2 4 1 1 1 0 2 4 4 1 4 1 2 1 2 2 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 0 8 0 4 8 4 12 0 0 8 8 0 12 4 4 8 12 0 0 0 4 8 8 12 4 4 4 4 8 12 4 12 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 12 12 4 8 8 12 8 0 0 12 0 12 12 12 12 12 0 12 12 12 8 0 0 4 8 4 4 12 0 12 0 4 8 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 4 0 0 4 8 12 4 8 12 12 8 4 12 0 12 8 0 8 0 12 8 4 8 12 12 12 4 4 8 8 0 8 12 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 12 0 0 8 12 0 12 8 4 4 0 8 4 0 8 8 8 12 4 4 12 4 4 0 0 4 0 4 4 4 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 0 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 0 0 0 0 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 0 0 8 8 0 0 0 0 0 0 8 generates a code of length 52 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+204x^42+542x^44+4x^45+860x^46+132x^47+1329x^48+1380x^49+4026x^50+4612x^51+6473x^52+4652x^53+4196x^54+1388x^55+1371x^56+108x^57+756x^58+12x^59+463x^60+176x^62+58x^64+22x^66+1x^72+1x^76+1x^84 The gray image is a code over GF(2) with n=416, k=15 and d=168. This code was found by Heurico 1.16 in 34.3 seconds.