The generator matrix 1 1 1 1 1 1 1 1 X X X X X X X X 1 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+7x^16+46x^17+8x^18+2x^25 The gray image is a code over GF(2) with n=68, k=6 and d=32. This code was found by Heurico 1.16 in 0.00105 seconds.