The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 4 2 2 2 2 1 0 12 0 0 0 4 12 4 8 12 8 0 0 4 4 0 0 12 12 12 12 12 4 4 8 8 0 4 0 0 12 0 4 4 4 8 0 4 8 4 12 4 8 4 4 0 12 12 0 4 0 0 8 8 12 8 0 0 0 12 4 0 4 4 8 0 12 4 8 4 0 4 12 4 8 4 0 12 4 4 12 12 0 12 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 0 8 8 0 8 0 8 0 8 0 0 0 generates a code of length 28 over Z16 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+45x^22+76x^23+122x^24+186x^25+220x^26+784x^27+1292x^28+754x^29+204x^30+172x^31+105x^32+46x^33+40x^34+24x^35+16x^36+6x^37+3x^38 The gray image is a code over GF(2) with n=224, k=12 and d=88. This code was found by Heurico 1.16 in 0.156 seconds.