The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 4 1 2 1 1 1 4 1 2 1 2 1 4 2 2 1 1 0 12 0 4 0 0 4 12 0 8 4 4 0 8 4 4 8 4 4 4 12 12 8 4 8 12 8 0 12 12 0 12 12 4 8 8 4 0 0 0 12 4 0 12 4 0 0 4 0 12 8 12 8 4 4 4 4 4 0 8 4 12 8 4 4 12 4 8 0 12 8 4 4 4 4 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 8 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 0 0 0 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 generates a code of length 38 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+41x^28+42x^29+103x^30+130x^31+218x^32+292x^33+464x^34+568x^35+2254x^36+964x^37+6087x^38+1084x^39+2336x^40+616x^41+436x^42+216x^43+225x^44+130x^45+65x^46+50x^47+35x^48+4x^49+12x^50+8x^52+1x^54+2x^56 The gray image is a code over GF(2) with n=304, k=14 and d=112. This code was found by Heurico 1.16 in 3.29 seconds.