The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 4 1 1 0 2 4 1 4 1 2 2 0 12 0 12 0 12 0 12 0 4 8 0 12 12 12 12 12 4 0 4 12 12 0 12 12 0 8 0 0 8 0 0 0 0 0 0 0 8 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 0 generates a code of length 27 over Z16 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+139x^20+136x^22+64x^23+764x^24+256x^25+2520x^26+384x^27+2638x^28+256x^29+632x^30+64x^31+256x^32+40x^34+39x^36+2x^40+1x^48 The gray image is a code over GF(2) with n=216, k=13 and d=80. This code was found by Heurico 1.16 in 3.24 seconds.