The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 2 1 1 1 1 2 1 1 4 1 1 1 0 1 1 1 2 1 4 1 1 0 1 1 2 1 4 1 1 1 1 2 4 4 4 2 2 1 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 0 8 0 8 0 12 12 12 12 12 4 12 0 12 12 4 12 0 0 12 8 12 12 4 12 8 4 8 4 0 12 12 12 8 0 4 0 4 12 8 12 0 8 0 8 12 12 12 12 12 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 0 8 8 8 0 8 0 0 8 0 8 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 8 8 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 0 8 0 8 0 8 8 8 0 8 8 0 0 0 8 8 0 8 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 0 8 8 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 8 8 8 8 0 8 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 8 8 8 8 0 0 8 0 0 0 0 0 8 8 0 8 0 8 0 8 0 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 0 8 8 8 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 8 8 0 8 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+34x^56+14x^57+88x^58+40x^59+115x^60+158x^61+171x^62+472x^63+283x^64+1356x^65+371x^66+2056x^67+354x^68+1372x^69+256x^70+456x^71+139x^72+166x^73+99x^74+48x^75+71x^76+6x^77+19x^78+18x^80+14x^82+4x^84+2x^86+5x^88+3x^90+1x^98 The gray image is a code over GF(2) with n=536, k=13 and d=224. This code was found by Heurico 1.16 in 2.18 seconds.