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 2 2 1 1 2 1 1 2 4 2 4 1 4 1 2 0 2 1 1 2 2 4 2 1 4 1 2 1 2 2 1 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 12 8 0 4 12 12 0 8 12 4 8 12 12 4 4 12 8 4 12 8 4 0 0 8 12 4 4 12 4 8 12 8 8 4 8 4 4 8 4 4 0 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 0 4 8 4 12 0 8 12 8 4 4 0 0 4 4 8 8 12 0 4 4 0 12 8 0 8 4 4 8 4 0 4 4 4 4 12 12 4 12 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 0 8 0 0 8 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 8 0 0 8 8 8 8 0 8 0 8 0 0 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 8 0 8 0 8 8 8 0 0 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 8 8 0 0 0 0 8 8 0 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 0 0 0 8 8 0 0 8 8 0 8 0 0 8 0 8 8 8 8 0 0 8 0 8 0 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 generates a code of length 57 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+94x^44+128x^46+24x^47+488x^48+28x^49+614x^50+144x^51+1376x^52+740x^53+2082x^54+2880x^55+5461x^56+4648x^57+5342x^58+2928x^59+2340x^60+664x^61+1276x^62+168x^63+702x^64+60x^65+234x^66+224x^68+4x^69+50x^70+51x^72+2x^74+14x^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 22.8 seconds.