The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 1 12 1 2 1 0 1 1 1 2 1 12 2 1 1 1 1 0 1 2 1 12 1 1 1 1 2 1 1 2 1 2 1 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 6 2 10 12 10 6 2 0 6 10 2 6 0 6 10 12 2 6 0 8 10 10 2 12 10 4 2 12 6 10 12 10 10 0 12 12 6 12 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 8 8 8 0 8 8 8 0 8 0 0 0 8 0 0 0 0 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 0 8 0 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 8 8 8 8 0 8 0 0 0 0 0 8 8 0 8 generates a code of length 54 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+28x^42+12x^43+89x^44+52x^45+202x^46+134x^47+615x^48+496x^49+1877x^50+1278x^51+4431x^52+4432x^53+6047x^54+3460x^55+4425x^56+1992x^57+1867x^58+176x^59+575x^60+188x^61+173x^62+54x^63+72x^64+8x^65+35x^66+6x^67+25x^68+9x^70+7x^72+1x^74+1x^78 The gray image is a code over GF(2) with n=432, k=15 and d=168. This code was found by Heurico 1.16 in 16.7 seconds.