The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 2 1 1 1 X 1 1 X 0 1 1 1 0 1 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 X+1 X+2 1 3 0 0 1 X+1 3 1 1 X 1 2 0 3 2 0 0 0 X 0 X+2 0 X+2 2 X+2 X+2 0 X+2 2 0 X 0 2 0 X 2 2 X+2 2 X X+2 X X 2 X+2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 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+106x^24+68x^25+269x^26+312x^27+439x^28+636x^29+476x^30+656x^31+386x^32+316x^33+245x^34+56x^35+85x^36+4x^37+31x^38+7x^40+2x^42+1x^46 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 0.316 seconds.