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 2 1 2 2 4 2 1 2 4 1 1 4 2 1 1 4 1 1 4 2 4 2 2 1 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 4 8 12 4 4 0 0 12 12 0 8 12 0 0 8 4 12 0 8 0 8 8 12 8 4 4 12 12 0 12 0 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 0 8 4 0 0 12 4 12 8 0 12 0 4 12 12 8 12 4 8 0 8 4 0 4 12 12 12 0 0 4 12 4 0 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 4 0 0 4 12 0 0 4 8 4 12 4 0 8 8 8 12 4 0 12 8 12 0 0 0 8 8 4 8 8 8 4 0 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 8 8 12 4 4 12 8 0 12 12 4 8 12 8 8 12 4 8 0 0 12 12 12 0 12 4 8 12 8 4 4 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 0 8 8 8 8 0 8 0 8 0 8 0 8 0 generates a code of length 52 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+51x^42+58x^43+160x^44+214x^45+249x^46+346x^47+838x^48+610x^49+2437x^50+864x^51+4874x^52+814x^53+2445x^54+590x^55+758x^56+334x^57+245x^58+156x^59+129x^60+68x^61+62x^62+32x^63+22x^64+8x^65+14x^66+2x^67+1x^68+1x^72+1x^74 The gray image is a code over GF(2) with n=416, k=14 and d=168. This code was found by Heurico 1.16 in 5.39 seconds.