The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 1 4 1 1 1 2 1 4 4 1 1 2 1 2 1 0 2 0 0 0 2 6 2 4 0 8 10 2 10 0 14 2 4 8 10 6 4 2 2 14 4 4 14 2 2 0 0 8 2 0 6 8 0 0 2 0 2 2 2 4 6 2 0 10 8 2 4 0 2 14 6 12 8 6 10 14 8 8 6 10 0 4 2 12 12 6 0 8 0 0 0 0 2 2 0 2 6 2 4 4 12 12 2 10 10 0 6 0 14 12 14 4 8 12 8 6 2 6 4 8 4 2 0 6 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 8 8 8 8 8 4 12 4 12 4 4 4 12 12 12 4 12 8 12 4 8 12 12 4 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 generates a code of length 37 over Z16 who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+68x^29+360x^30+720x^31+1413x^32+2154x^33+4559x^34+6606x^35+10358x^36+12410x^37+11011x^38+7106x^39+4399x^40+1974x^41+1287x^42+562x^43+329x^44+122x^45+61x^46+14x^47+11x^48+8x^49+2x^50+1x^52 The gray image is a code over GF(2) with n=296, k=16 and d=116. This code was found by Heurico 1.16 in 32.6 seconds.