The generator matrix 1 0 0 0 1 1 1 1 8 1 8 1 1 10 14 6 4 1 1 1 1 4 4 8 1 1 1 1 14 8 2 1 0 10 2 1 1 0 1 0 0 0 8 5 15 1 11 1 7 6 6 1 2 1 8 12 11 13 1 2 10 10 14 15 13 1 12 12 14 8 1 1 1 1 0 0 1 0 1 14 4 2 2 3 5 5 7 1 7 1 11 15 6 0 0 11 1 4 5 14 2 1 11 1 1 7 10 12 8 10 5 0 0 0 1 1 3 7 10 3 9 2 2 0 5 13 6 4 7 8 3 12 9 9 1 0 13 15 2 0 9 14 13 1 13 2 1 7 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 8 0 8 0 0 8 0 generates a code of length 37 over Z16 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+362x^31+1918x^32+4538x^33+9702x^34+14858x^35+21574x^36+23956x^37+23201x^38+15620x^39+8979x^40+3866x^41+1776x^42+514x^43+160x^44+24x^45+9x^46+6x^47+8x^48 The gray image is a code over GF(2) with n=296, k=17 and d=124. This code was found by Heurico 1.16 in 78 seconds.