The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 4 4 2 2 1 4 2 1 1 1 1 1 1 2 1 2 1 1 0 2 0 2 0 0 6 14 4 4 10 6 12 6 10 12 4 14 10 10 12 12 2 2 10 6 6 12 8 12 0 12 10 6 8 4 10 6 8 0 0 0 2 2 12 6 6 4 4 2 6 0 8 10 4 10 4 4 2 6 6 10 12 10 8 6 0 2 14 14 10 10 4 8 0 2 4 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 8 0 8 0 0 0 0 8 8 8 8 8 0 0 0 8 8 8 0 0 0 0 0 8 0 8 0 8 8 0 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 8 0 0 8 0 8 8 0 8 0 8 8 generates a code of length 40 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+42x^34+248x^35+252x^36+738x^37+839x^38+1382x^39+1398x^40+1340x^41+724x^42+600x^43+252x^44+218x^45+53x^46+70x^47+17x^48+8x^49+5x^50+4x^51+1x^58 The gray image is a code over GF(2) with n=320, k=13 and d=136. This code was found by Heurico 1.16 in 0.664 seconds.