The generator matrix 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 4 1 2 1 1 0 1 1 4 2 2 2 1 2 1 1 1 2 1 0 12 0 12 0 12 0 12 0 12 12 8 4 12 0 12 12 12 0 12 4 0 0 12 0 12 12 12 12 0 12 12 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 0 0 0 8 8 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 8 8 0 0 8 8 0 0 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 8 0 8 0 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 0 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 8 8 8 0 8 8 0 8 generates a code of length 34 over Z16 who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+31x^22+2x^23+114x^24+44x^25+181x^26+106x^27+366x^28+344x^29+842x^30+1188x^31+3602x^32+6504x^33+6078x^34+6532x^35+3633x^36+1152x^37+867x^38+346x^39+382x^40+140x^41+153x^42+18x^43+80x^44+8x^45+36x^46+11x^48+4x^50+1x^52+2x^56 The gray image is a code over GF(2) with n=272, k=15 and d=88. This code was found by Heurico 1.16 in 8.79 seconds.