The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 X 1 1 1 0 0 X 1 1 1 1 1 X X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 0 X+2 X+2 X X+2 X X+2 0 0 2 X X X+2 0 0 X+2 X+2 0 X+2 X+2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 2 generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+82x^24+96x^26+32x^27+318x^28+288x^29+288x^30+704x^31+500x^32+704x^33+288x^34+288x^35+289x^36+32x^37+96x^38+72x^40+16x^44+1x^48+1x^52 The gray image is a code over GF(2) with n=128, k=12 and d=48. This code was found by Heurico 1.16 in 0.497 seconds.