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 2 2 1 1 4 1 2 1 1 1 1 4 0 1 4 4 1 1 1 0 1 2 2 1 2 4 1 0 12 0 0 0 0 0 0 0 0 4 12 12 8 4 4 12 12 12 8 0 8 0 12 12 4 8 12 4 4 12 8 12 0 12 12 4 12 4 8 8 8 4 4 8 0 12 4 8 0 8 0 12 4 8 4 0 0 0 12 0 0 0 4 12 12 8 4 4 8 4 4 0 4 8 0 8 12 4 0 4 0 8 0 8 12 12 12 4 4 4 4 8 4 12 4 4 12 12 4 8 4 8 0 0 0 8 4 4 12 4 12 12 12 0 0 0 12 0 4 4 4 0 8 0 0 0 0 4 12 12 12 0 8 12 12 4 4 12 0 12 12 8 0 4 8 12 0 4 8 8 4 12 4 12 4 4 4 12 12 12 8 8 4 4 8 0 0 4 12 4 0 0 0 0 12 4 8 4 4 0 8 4 12 12 4 8 0 4 12 4 12 8 0 4 0 8 12 4 8 4 8 0 8 8 8 8 0 0 0 0 4 0 0 4 4 12 12 12 4 0 8 4 8 4 4 12 0 0 0 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 8 8 8 8 0 8 8 0 8 0 0 8 8 8 8 8 8 0 0 0 0 8 8 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 0 generates a code of length 57 over Z16 who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+86x^49+119x^50+168x^51+228x^52+316x^53+572x^54+828x^55+1129x^56+1338x^57+1214x^58+844x^59+514x^60+292x^61+168x^62+104x^63+89x^64+66x^65+35x^66+36x^67+18x^68+8x^69+4x^70+4x^71+4x^72+6x^73+1x^88 The gray image is a code over GF(2) with n=456, k=13 and d=196. This code was found by Heurico 1.16 in 16.5 seconds.