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 2 1 1 1 1 2 1 1 4 2 2 1 2 2 1 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 8 0 12 4 4 12 12 8 8 8 12 12 4 12 4 0 0 8 4 0 4 8 8 12 12 8 8 0 0 0 12 0 0 0 4 12 4 4 12 0 4 8 0 8 12 4 0 12 4 0 4 12 4 8 4 4 8 0 8 4 8 0 0 4 8 12 0 4 0 0 0 0 0 12 0 4 4 12 0 8 12 4 12 12 8 12 12 0 8 4 8 12 8 12 8 12 8 12 4 0 8 4 8 12 12 0 12 0 8 4 4 4 0 0 0 0 12 4 0 12 4 12 8 12 12 8 12 12 8 0 4 12 12 4 8 12 8 4 4 8 0 8 12 0 4 0 8 0 8 4 8 0 12 4 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 0 8 0 0 0 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 8 0 0 0 8 0 8 0 8 8 0 0 8 8 8 8 0 8 0 8 0 0 generates a code of length 42 over Z16 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+87x^32+100x^33+202x^34+290x^35+420x^36+452x^37+596x^38+1038x^39+1649x^40+6282x^41+10494x^42+6322x^43+1636x^44+1098x^45+646x^46+458x^47+346x^48+234x^49+190x^50+84x^51+80x^52+26x^53+29x^54+5x^56+2x^58+1x^70 The gray image is a code over GF(2) with n=336, k=15 and d=128. This code was found by Heurico 1.16 in 14.6 seconds.