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 2 1 1 2 1 1 1 4 4 1 8 1 1 2 1 4 2 2 1 4 2 1 2 0 12 0 4 0 0 4 12 0 8 4 4 0 4 4 8 0 0 8 0 12 4 4 12 4 12 12 4 8 0 12 4 8 0 8 8 12 8 8 8 4 12 4 4 0 0 0 4 4 4 12 8 0 0 8 4 0 0 12 4 0 12 4 0 8 4 0 4 0 12 0 4 8 8 4 4 0 0 4 12 12 12 0 0 4 4 0 4 8 12 0 8 8 8 0 0 4 8 8 12 4 12 12 8 4 12 8 12 12 4 4 12 0 0 0 8 0 0 0 0 8 8 8 0 8 8 0 0 8 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 0 8 0 0 8 0 8 0 8 0 8 8 8 0 8 0 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 0 0 0 0 8 0 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 0 8 0 8 8 0 0 0 8 8 8 8 8 8 8 0 8 0 0 8 8 8 0 8 0 0 0 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 8 0 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 8 0 0 0 8 0 8 0 8 0 8 8 0 8 generates a code of length 56 over Z16 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+174x^48+12x^49+188x^50+116x^51+351x^52+732x^53+204x^54+2212x^55+272x^56+2212x^57+202x^58+732x^59+301x^60+116x^61+154x^62+12x^63+148x^64+18x^66+24x^68+2x^70+4x^72+3x^76+1x^80+1x^84 The gray image is a code over GF(2) with n=448, k=13 and d=192. This code was found by Heurico 1.16 in 2.64 seconds.