The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 4 1 2 1 4 4 1 1 1 2 2 0 12 0 4 0 0 4 12 8 12 0 12 0 12 8 12 8 8 8 12 8 0 12 0 0 4 12 4 12 4 8 12 4 8 0 4 0 0 4 0 4 0 0 0 12 4 0 12 4 8 4 4 0 0 0 4 4 8 4 8 0 12 12 12 4 0 8 4 0 12 8 4 4 8 12 4 4 4 12 0 0 4 12 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 0 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 8 8 8 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 generates a code of length 42 over Z16 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+192x^36+16x^37+76x^38+128x^39+592x^40+352x^41+1358x^42+384x^43+624x^44+144x^45+70x^46+103x^48+26x^50+23x^52+6x^54+1x^68 The gray image is a code over GF(2) with n=336, k=12 and d=144. This code was found by Heurico 1.16 in 1.09 seconds.