The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 4 2 0 2 1 1 1 1 1 4 1 1 2 2 2 0 12 0 12 0 12 0 12 0 4 8 0 12 12 4 0 8 12 12 0 0 12 12 4 12 0 0 12 12 8 12 12 12 12 0 8 0 0 8 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 8 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 8 8 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 8 0 0 0 8 8 generates a code of length 36 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+122x^28+92x^30+32x^31+316x^32+288x^33+824x^34+1728x^35+1451x^36+1728x^37+768x^38+288x^39+286x^40+32x^41+104x^42+104x^44+4x^46+21x^48+3x^52 The gray image is a code over GF(2) with n=288, k=13 and d=112. This code was found by Heurico 1.16 in 0.846 seconds.