The generator matrix 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 2 2 1 1 X 0 2X+2 0 2X+2 0 2X+2 0 2 2X 2X+2 0 2X+2 2X 2X+2 2X+2 0 0 0 2X 2X 2X+2 2X+2 2X+2 2X+2 0 0 0 2X 0 0 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 2X 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 0 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 0 2X 0 generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+72x^20+72x^22+256x^23+130x^24+1024x^25+80x^26+256x^27+100x^28+40x^30+11x^32+4x^36+2x^40 The gray image is a code over GF(2) with n=200, k=11 and d=80. This code was found by Heurico 1.16 in 0.047 seconds.