The generator matrix 1 0 1 1 1 0 1 1 1 1 0 2 2 0 1 1 0 3 1 0 3 2 3 2 1 1 0 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 generates a code of length 13 over Z4 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+46x^12+15x^16+2x^20 The gray image is a code over GF(2) with n=26, k=6 and d=12. This code was found by Heurico 1.16 in 0.00198 seconds.