The generator matrix 1 0 0 0 0 1 1 1 2 1 X 2 0 X 1 1 2 1 1 0 1 0 0 0 0 3 X+1 1 1 1 X 1 X+2 0 X+2 1 2 2 0 0 1 0 0 1 1 X 1 3 0 1 X+2 0 2 1 X+1 X 0 0 0 0 1 0 1 2 0 X+2 1 X+1 X+1 2 1 1 X+2 X+3 0 2 0 0 0 0 1 1 X+2 1 X+3 X+1 X+2 0 X+1 1 X X+3 0 X+2 2 0 0 0 0 0 X 0 2 0 2 2 2 X+2 X+2 X+2 X+2 0 X X+2 generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+134x^12+688x^13+1736x^14+4692x^15+8302x^16+16596x^17+20379x^18+25744x^19+20749x^20+16536x^21+8407x^22+4660x^23+1597x^24+676x^25+129x^26+40x^27+1x^28+5x^30 The gray image is a code over GF(2) with n=76, k=17 and d=24. This code was found by Heurico 1.13 in 30.5 seconds.