The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 4 4 2 4 2 1 2 1 1 1 2 4 1 0 12 0 0 0 0 0 0 0 12 12 12 4 4 4 4 4 4 8 0 12 8 12 4 12 4 8 8 0 12 0 0 0 12 0 0 0 4 12 4 4 12 8 4 0 12 8 4 0 4 0 12 8 0 12 4 4 4 0 12 8 0 0 0 0 12 0 4 4 12 0 8 12 4 8 12 4 0 0 12 0 12 8 8 12 4 8 8 8 0 12 4 0 0 0 0 0 12 4 0 12 4 12 8 4 0 8 12 4 0 8 0 0 4 4 4 0 12 4 12 0 4 4 0 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 0 8 8 generates a code of length 31 over Z16 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+79x^22+110x^23+228x^24+330x^25+569x^26+912x^27+1709x^28+3426x^29+5498x^30+6742x^31+5727x^32+3598x^33+1824x^34+850x^35+454x^36+310x^37+199x^38+84x^39+68x^40+16x^41+21x^42+6x^43+5x^44+2x^50 The gray image is a code over GF(2) with n=248, k=15 and d=88. This code was found by Heurico 1.16 in 8.97 seconds.