The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 0 1 1 1 1 1 1 X+2 1 1 X+2 2 1 1 0 X 2 1 0 1 1 0 X+3 1 X X+3 1 1 X+2 1 1 X+3 0 3 X+1 X+1 2 1 3 X 1 1 0 0 1 1 1 0 0 0 X 0 X+2 0 0 2 2 0 0 2 0 X+2 X+2 X 2 X 0 X+2 0 X X+2 X+2 X 0 2 X+2 2 2 0 0 0 X 0 0 X+2 X+2 X+2 X 2 X+2 2 2 X X 0 X X X 2 2 X+2 0 2 0 X X 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+52x^24+110x^25+231x^26+364x^27+440x^28+576x^29+632x^30+540x^31+409x^32+344x^33+212x^34+84x^35+52x^36+24x^37+12x^38+4x^39+6x^40+2x^41+1x^42 The gray image is a code over GF(2) with n=120, k=12 and d=48. This code was found by Heurico 1.16 in 0.312 seconds.