The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 4 0 2 1 0 12 0 0 0 0 0 0 0 0 4 8 12 12 8 4 8 0 12 8 4 12 8 4 4 4 0 4 0 0 12 0 0 0 4 12 12 8 4 0 12 8 12 0 12 8 4 0 0 12 8 12 4 12 12 8 0 0 0 12 0 4 4 4 0 8 0 0 0 0 8 12 0 4 0 4 4 8 12 8 8 12 12 4 0 0 0 0 12 4 8 4 4 0 8 4 12 4 12 8 8 4 8 8 8 4 0 0 8 8 12 12 0 0 0 0 0 8 8 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 0 0 8 0 0 8 generates a code of length 28 over Z16 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+187x^22+12x^23+408x^24+124x^25+835x^26+1400x^27+2265x^28+1400x^29+877x^30+124x^31+352x^32+12x^33+145x^34+43x^36+4x^38+3x^40 The gray image is a code over GF(2) with n=224, k=13 and d=88. This code was found by Heurico 1.16 in 0.581 seconds.