The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 4 2 2 2 1 2 1 2 2 2 4 1 2 2 1 4 4 1 0 12 0 0 0 4 12 4 0 8 0 12 12 0 12 4 12 12 8 0 12 4 12 0 4 0 8 12 0 4 0 8 4 8 12 8 0 8 0 0 12 0 4 4 12 0 0 0 12 8 12 12 12 8 4 4 12 0 4 0 0 12 0 4 4 8 4 12 12 8 4 12 8 8 0 4 0 0 0 12 4 0 12 4 0 4 12 12 4 8 0 0 12 8 12 12 12 4 0 0 8 4 4 8 12 0 8 0 0 0 4 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 8 8 8 0 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 8 0 0 0 8 8 8 0 8 0 0 8 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 0 8 8 generates a code of length 38 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+74x^28+110x^29+192x^30+352x^31+392x^32+702x^33+930x^34+1474x^35+3051x^36+5532x^37+7055x^38+5560x^39+3174x^40+1516x^41+858x^42+716x^43+408x^44+310x^45+158x^46+88x^47+65x^48+22x^49+19x^50+2x^51+3x^52+3x^54+1x^66 The gray image is a code over GF(2) with n=304, k=15 and d=112. This code was found by Heurico 1.16 in 12.3 seconds.