The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 X 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 0 X+1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+14x^10+22x^11+39x^12+102x^13+210x^14+614x^15+507x^16+1078x^17+502x^18+626x^19+208x^20+98x^21+38x^22+18x^23+12x^24+2x^25+4x^26+1x^28 The gray image is a code over GF(2) with n=68, k=12 and d=20. This code was found by Heurico 1.16 in 0.0609 seconds.