The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 X 0 1 1 1 1 X 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 0 2 2 0 2 X+2 X+2 X X+2 X X X+2 X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 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+36x^24+24x^25+40x^26+72x^27+103x^28+160x^29+165x^30+160x^31+94x^32+72x^33+38x^34+24x^35+21x^36+7x^38+1x^40+5x^42+1x^50 The gray image is a code over GF(2) with n=120, k=10 and d=48. This code was found by Heurico 1.16 in 0.0402 seconds.