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 2 2 2 4 2 0 1 1 2 4 1 1 2 0 1 1 4 1 2 1 1 2 4 1 4 2 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 12 0 0 8 4 12 12 12 12 12 4 0 12 12 12 12 0 12 4 12 0 12 4 12 12 4 8 12 0 8 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 8 0 0 8 0 8 0 8 0 0 8 0 0 8 0 0 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 8 8 0 0 8 0 8 0 8 8 0 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 0 8 8 8 0 0 8 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 8 0 0 8 0 8 8 0 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 0 8 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 0 0 8 0 0 0 8 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 0 8 8 8 0 0 0 8 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 0 8 0 8 0 8 0 0 8 8 0 8 8 generates a code of length 52 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+176x^40+88x^42+8x^43+543x^44+104x^45+444x^46+512x^47+1637x^48+1344x^49+5092x^50+2128x^51+8608x^52+2128x^53+5112x^54+1344x^55+1662x^56+512x^57+448x^58+104x^59+508x^60+8x^61+76x^62+133x^64+4x^66+36x^68+6x^72+1x^76+1x^80 The gray image is a code over GF(2) with n=416, k=15 and d=160. This code was found by Heurico 1.16 in 30.6 seconds.