The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 X+2 2 1 1 X 1 0 1 X 0 1 1 X 1 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+3 1 1 X 1 1 X+2 1 X+3 1 1 X X+3 1 X+1 X 2 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X+2 0 X X X+2 X 2 0 X+2 X 0 X+2 X X+2 2 X+2 X 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+62x^24+40x^25+139x^26+278x^27+380x^28+696x^29+1220x^30+2024x^31+2283x^32+2104x^33+2315x^34+2036x^35+1232x^36+712x^37+376x^38+264x^39+114x^40+32x^41+41x^42+6x^43+20x^44+4x^46+4x^48+1x^50 The gray image is a code over GF(2) with n=132, k=14 and d=48. This code was found by Heurico 1.16 in 5.1 seconds.