The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 4 1 2 1 2 4 1 1 8 1 2 0 1 1 2 1 1 4 2 2 2 1 1 0 12 0 4 0 0 4 12 0 0 12 12 8 12 0 12 0 4 12 12 4 8 8 8 12 4 0 4 4 12 8 0 12 4 4 8 8 8 0 8 4 0 4 12 4 0 0 0 0 0 12 4 0 12 4 0 0 12 12 8 4 4 8 0 0 12 4 0 4 4 12 12 8 12 0 4 0 0 4 12 4 4 0 4 4 8 8 4 8 4 4 8 4 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 8 0 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 0 0 8 0 0 8 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 0 0 8 0 0 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 8 0 8 8 0 0 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 8 0 8 0 0 8 0 8 0 0 0 8 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 8 0 8 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 0 8 8 8 0 8 0 8 8 generates a code of length 48 over Z16 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+37x^36+241x^38+4x^39+405x^40+36x^41+784x^42+208x^43+1372x^44+1680x^45+4155x^46+4216x^47+6444x^48+4216x^49+4187x^50+1680x^51+1503x^52+208x^53+703x^54+36x^55+389x^56+4x^57+148x^58+78x^60+21x^62+9x^64+2x^68+1x^82 The gray image is a code over GF(2) with n=384, k=15 and d=144. This code was found by Heurico 1.16 in 17.3 seconds.