The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 3X+2 1 1 3X 1 1 2X 1 1 1 2X 1 2X 2X+2 0 1 X+1 3X+2 3 1 2 3X+3 1 X+2 1 1 X+1 3X 1 2X 2X+3 1 2X+2 X+2 2X+2 X X+3 1 0 0 0 2X+2 0 2 2X+2 0 2X+2 2X 2X+2 2X+2 0 2X 2X 0 2X+2 2X 2X+2 2X+2 2X+2 2 2X+2 0 2 0 0 0 0 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 2X generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+98x^21+203x^22+656x^23+543x^24+1096x^25+639x^26+600x^27+119x^28+82x^29+21x^30+24x^31+8x^32+4x^33+1x^34+1x^36 The gray image is a code over GF(2) with n=200, k=12 and d=84. This code was found by Heurico 1.16 in 1.27 seconds.