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 2 2 1 2 1 1 1 1 1 4 2 2 2 2 1 2 8 4 1 2 4 2 4 2 1 4 1 2 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 12 8 0 12 4 8 4 8 4 4 12 0 4 0 8 12 4 12 0 0 4 8 4 4 0 12 4 0 12 12 4 4 4 4 12 0 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 0 4 8 0 4 4 0 4 4 4 8 0 4 8 0 0 4 0 12 12 12 0 12 12 12 12 4 12 8 0 0 4 4 4 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 8 0 0 0 8 8 8 0 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 0 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 0 8 8 0 8 0 0 0 0 0 8 8 0 8 8 0 8 8 8 8 0 0 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 0 8 8 8 8 8 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 0 0 0 8 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 8 8 0 8 8 8 8 generates a code of length 52 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+58x^40+26x^41+150x^42+168x^43+244x^44+378x^45+464x^46+752x^47+1367x^48+1724x^49+3515x^50+5092x^51+4791x^52+5188x^53+3537x^54+1792x^55+1384x^56+738x^57+412x^58+336x^59+279x^60+130x^61+90x^62+48x^63+51x^64+8x^65+19x^66+4x^67+13x^68+5x^70+2x^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 20 seconds.