The generator matrix 1 0 0 0 1 1 1 2X 1 1 X+2 3X+2 1 X 1 1 1 1 2 3X 2X+2 2X X+2 1 1 3X+2 1 2X+2 1 1 0 1 0 0 2X 1 2X+1 1 2X+3 3X+2 3X+2 1 3 1 X X+3 X+3 2X 1 1 1 2 2X+2 3X+1 X+2 2X+2 X+3 1 2X+1 X 0 0 1 0 2X+1 1 2 2X+3 2X 3X+1 1 0 2X+3 3 X 2 X+2 3X+3 X 3X+1 3X+1 X+2 1 X+1 2X X 2X+2 3X+2 3X+3 3X 0 0 0 1 1 2X 2X+3 2X+1 2X+2 2X 1 X+3 3X+3 3X 3 2X+1 2X+2 3X+3 3X X 2X+1 1 3X+1 X+3 2X+1 1 3X+3 3X+3 3 2X generates a code of length 30 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+360x^25+2132x^26+3874x^27+8199x^28+10796x^29+14547x^30+11158x^31+8601x^32+3544x^33+1682x^34+454x^35+155x^36+20x^37+7x^38+2x^39+4x^40 The gray image is a code over GF(2) with n=240, k=16 and d=100. This code was found by Heurico 1.16 in 14.8 seconds.