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 1 1 1 1 1 1 1 2 4 2 4 2 2 0 1 2 1 4 4 2 2 1 2 2 1 0 12 0 0 0 0 0 0 0 0 0 12 12 4 4 12 8 12 12 8 12 0 0 12 4 8 4 0 12 12 12 4 8 12 8 8 12 0 0 0 8 0 4 8 8 4 0 4 12 8 0 0 0 0 0 12 0 0 0 0 0 0 0 4 0 4 4 4 8 4 8 4 4 0 12 4 0 8 12 4 12 8 4 12 12 0 0 8 0 4 12 4 4 8 8 0 12 12 0 0 12 8 0 8 4 0 0 0 0 12 0 0 0 4 12 12 4 12 0 12 0 8 4 0 8 0 0 12 0 4 12 4 12 8 8 8 0 8 4 12 12 0 8 12 12 8 0 4 4 0 4 4 4 0 8 4 4 4 0 0 0 0 0 12 0 4 4 4 0 8 8 8 0 4 4 4 12 12 8 0 0 12 4 12 4 4 0 4 0 12 8 0 0 4 4 8 0 0 8 8 4 8 0 4 12 8 0 12 12 0 4 0 0 0 0 0 0 12 4 8 4 4 0 0 12 12 4 8 0 12 8 12 4 12 8 0 12 12 8 8 8 12 0 8 8 0 0 8 4 12 8 12 4 12 4 12 8 12 4 4 4 8 8 12 0 0 0 0 0 0 0 8 8 0 8 8 8 0 8 8 8 0 0 0 8 8 0 0 8 0 0 0 8 0 8 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 8 0 8 8 8 8 generates a code of length 53 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+51x^42+102x^43+205x^44+292x^45+334x^46+480x^47+665x^48+866x^49+2566x^50+1498x^51+8457x^52+1760x^53+8459x^54+1442x^55+2644x^56+938x^57+631x^58+452x^59+309x^60+210x^61+165x^62+102x^63+58x^64+28x^65+16x^66+20x^67+13x^68+2x^69+1x^70+1x^78 The gray image is a code over GF(2) with n=424, k=15 and d=168. This code was found by Heurico 1.16 in 20.7 seconds.