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 2 2 2 4 2 1 4 2 2 4 1 2 1 1 2 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 0 8 0 4 8 12 4 4 12 8 4 8 0 0 0 12 4 4 12 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 12 12 4 8 8 12 12 12 12 8 12 12 12 4 8 12 12 0 0 0 8 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 4 0 0 4 8 12 4 8 4 4 4 12 0 8 4 0 8 12 8 4 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 12 0 0 8 12 8 12 4 8 0 4 0 0 8 0 4 4 4 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 8 0 8 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 0 0 0 0 8 8 0 0 0 8 8 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 8 8 0 8 8 0 8 8 0 0 8 0 8 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+202x^30+628x^32+64x^33+933x^34+384x^35+1964x^36+2496x^37+6477x^38+6400x^39+6515x^40+2496x^41+2058x^42+384x^43+966x^44+64x^45+516x^46+159x^48+49x^50+5x^52+5x^54+1x^56+1x^68 The gray image is a code over GF(2) with n=312, k=15 and d=120. This code was found by Heurico 1.16 in 13.7 seconds.