The generator matrix 1 0 0 1 1 1 2 1 1 X+2 X 1 1 0 1 X 1 X+2 1 X+2 1 1 X 1 1 1 X+2 1 1 1 1 0 X 0 1 0 0 1 X+1 1 1 X X 1 X 1 1 X+1 1 1 1 3 X X+3 X+3 1 X 0 2 1 0 X+1 X+2 2 1 1 0 0 1 1 1 0 X+1 X X+3 1 X+2 X+2 1 X+3 0 1 X+3 2 2 1 X+1 X+2 2 1 X X X+1 X+3 3 X X+2 1 X+1 0 0 0 X X+2 2 X 2 X X X X+2 0 2 X 0 X X X+2 0 2 X+2 0 0 0 X X X+2 0 2 2 2 X+2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+185x^28+292x^29+394x^30+480x^31+464x^32+516x^33+468x^34+488x^35+357x^36+244x^37+118x^38+24x^39+47x^40+4x^41+8x^42+2x^44+4x^46 The gray image is a code over GF(2) with n=132, k=12 and d=56. This code was found by Heurico 1.16 in 0.334 seconds.