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 2 2 1 2 1 1 2 4 0 4 1 1 2 1 1 1 0 2 4 1 1 4 1 0 1 4 2 4 8 2 1 4 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 0 8 12 4 12 0 12 12 12 12 0 12 12 12 4 12 0 8 12 12 0 8 4 12 12 4 0 8 12 4 4 0 12 12 0 12 12 12 12 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 0 8 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 0 0 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 8 0 8 0 0 0 0 8 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 0 0 8 8 0 8 0 0 8 8 8 8 0 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 8 0 8 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 0 8 0 8 0 0 8 0 8 8 0 8 0 8 0 8 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 0 8 0 8 8 8 8 0 8 0 0 0 0 8 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 0 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 0 8 0 8 0 8 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 8 0 generates a code of length 57 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+128x^44+74x^46+521x^48+590x^50+128x^51+1572x^52+1280x^53+2150x^54+3968x^55+3278x^56+5632x^57+2822x^58+3968x^59+2530x^60+1280x^61+1318x^62+128x^63+873x^64+202x^66+232x^68+10x^70+62x^72+2x^74+18x^76+1x^80 The gray image is a code over GF(2) with n=456, k=15 and d=176. This code was found by Heurico 1.16 in 24.5 seconds.