The generator matrix 1 0 0 1 1 1 X 1 1 2 1 1 X 1 1 1 X 1 1 0 0 2 X+2 1 1 0 1 0 0 1 1 1 X X+3 1 X X+3 X 3 X+2 1 1 3 0 1 1 1 0 X+2 X 0 0 1 X+1 X+3 0 1 1 X 1 X 1 1 3 0 X+2 X 1 2 X+1 X+2 X+2 1 X+2 X 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 2 generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+104x^20+276x^21+289x^22+512x^23+484x^24+706x^25+539x^26+602x^27+290x^28+168x^29+63x^30+36x^31+15x^32+2x^33+5x^34+2x^35+2x^36 The gray image is a code over GF(2) with n=100, k=12 and d=40. This code was found by Heurico 1.16 in 0.2 seconds.