The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 12 1 1 1 1 2 2 0 12 1 2 0 1 1 1 1 1 2 1 12 1 1 1 1 1 2 2 2 0 2 12 6 0 6 12 10 0 6 12 10 0 6 6 2 12 10 10 2 6 0 12 10 6 10 2 2 0 6 2 6 6 10 12 6 10 12 2 12 10 6 14 12 6 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 0 8 8 8 8 0 0 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 8 0 8 0 8 8 0 8 0 8 0 8 8 8 8 8 8 0 0 8 8 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 8 8 8 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 0 8 8 0 8 0 0 0 0 8 8 0 0 8 0 0 0 0 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 8 8 0 8 0 0 0 8 8 generates a code of length 47 over Z16 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+104x^36+114x^38+40x^39+453x^40+224x^41+696x^42+928x^43+3206x^44+2336x^45+6676x^46+3184x^47+6847x^48+2336x^49+2944x^50+928x^51+918x^52+224x^53+298x^54+40x^55+187x^56+24x^58+42x^60+16x^64+2x^68 The gray image is a code over GF(2) with n=376, k=15 and d=144. This code was found by Heurico 1.16 in 13.5 seconds.