The generator matrix 1 1 1 1 1 1 1 1 1 1 X 0 1 X X 1 0 1 1 1 1 X X 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 X+2 X 0 X+2 X+2 0 X X+2 X+2 X+2 X X+2 X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 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+29x^18+113x^20+254x^22+128x^23+379x^24+256x^25+376x^26+128x^27+244x^28+98x^30+27x^32+11x^34+3x^36+1x^40 The gray image is a code over GF(2) with n=100, k=11 and d=36. This code was found by Heurico 1.16 in 0.0912 seconds.