The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 8 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 0 0 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 0 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 8 8 8 0 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 0 8 8 generates a code of length 28 over Z16 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+65x^20+186x^24+128x^26+3354x^28+128x^30+156x^32+69x^36+8x^40+1x^48 The gray image is a code over GF(2) with n=224, k=12 and d=80. This code was found by Heurico 1.16 in 0.155 seconds.