The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 2 1 X 0 1 1 0 X 0 0 0 X X+2 X 0 2 2 2 2 X X+2 X+2 X+2 2 2 X 2 X X X+2 0 0 0 X 0 X X X+2 0 0 0 X+2 X 2 X 2 X 2 X+2 X X+2 X+2 X+2 X+2 2 0 0 0 0 X X 0 X+2 X 2 X+2 X 0 2 2 X+2 X 0 X+2 0 2 0 2 X 2 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+43x^18+70x^19+135x^20+152x^21+312x^22+432x^23+470x^24+716x^25+668x^26+480x^27+248x^28+144x^29+118x^30+40x^31+41x^32+12x^33+9x^34+2x^35+1x^36+2x^38 The gray image is a code over GF(2) with n=100, k=12 and d=36. This code was found by Heurico 1.16 in 0.292 seconds.