The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 0 4 0 1 2 1 2 8 8 1 2 2 1 2 1 1 2 1 1 0 2 0 2 0 0 2 10 6 4 0 14 8 8 2 14 6 12 2 2 2 10 6 6 0 2 4 14 10 12 14 0 12 4 10 0 0 0 2 2 0 14 2 4 2 2 8 0 10 14 12 4 2 2 14 2 2 6 6 0 2 10 8 10 6 0 2 6 14 6 10 0 0 0 0 4 0 0 0 0 0 0 12 12 4 8 0 4 4 4 8 12 8 0 12 12 8 12 8 4 4 12 8 12 12 12 12 0 0 0 0 0 12 4 0 4 4 8 12 8 4 8 4 12 12 8 12 8 12 0 0 12 12 4 8 4 0 4 0 0 0 8 8 0 0 0 0 0 0 8 8 0 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 generates a code of length 36 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+55x^28+166x^29+356x^30+742x^31+1255x^32+2208x^33+3668x^34+5070x^35+5589x^36+5130x^37+3936x^38+2224x^39+1153x^40+636x^41+278x^42+150x^43+68x^44+52x^45+16x^46+6x^47+7x^48+2x^50 The gray image is a code over GF(2) with n=288, k=15 and d=112. This code was found by Heurico 1.16 in 8.69 seconds.