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 2 4 2 4 4 2 1 2 2 2 1 4 2 1 4 4 4 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 0 8 0 4 12 4 8 8 12 12 4 0 8 8 4 12 4 4 4 8 0 4 0 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 4 8 4 4 4 0 12 4 4 0 8 12 12 8 4 4 0 4 12 12 12 12 12 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 8 0 8 0 8 0 8 8 8 0 0 8 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 8 8 0 0 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 0 8 0 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 0 0 0 8 8 0 0 8 8 8 8 8 0 8 0 8 8 0 8 8 0 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+103x^30+315x^32+96x^33+627x^34+256x^35+1442x^36+1184x^37+2624x^38+3072x^39+2684x^40+1184x^41+1456x^42+256x^43+564x^44+96x^45+279x^46+104x^48+27x^50+10x^52+2x^54+2x^58 The gray image is a code over GF(2) with n=312, k=14 and d=120. This code was found by Heurico 1.16 in 4.14 seconds.