The generator matrix 1 0 1 1 1 X+2 1 1 0 1 0 1 X+2 X+2 1 1 0 X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 1 1 0 X+1 1 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+58x^12+144x^14+192x^15+654x^16+576x^17+864x^18+576x^19+628x^20+192x^21+144x^22+64x^24+2x^28+1x^32 The gray image is a code over GF(2) with n=72, k=12 and d=24. This code was found by Heurico 1.16 in 0.0985 seconds.