The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 0 1 1 1 2 1 X X+2 1 X 1 1 0 1 X 1 1 1 1 1 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 0 1 X+1 3 2 1 0 1 1 2 1 X+1 2 1 X+1 2 X X+3 X 2 X+1 0 0 X 0 0 0 0 0 0 2 2 X X X 0 X+2 X X+2 X+2 2 2 X+2 X X 2 X X 0 2 2 0 2 0 0 0 0 X 0 0 X 2 X 2 X+2 0 0 0 X+2 X+2 X+2 X+2 X 2 0 0 X+2 2 2 X+2 0 2 X 2 X 0 0 0 0 0 0 X 0 0 X 2 2 0 2 X+2 X X+2 2 X+2 X 0 X+2 X+2 0 X X+2 X+2 2 X+2 X+2 0 0 X+2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 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 26. Homogenous weight enumerator: w(x)=1x^0+65x^26+142x^27+305x^28+470x^29+612x^30+886x^31+1023x^32+1138x^33+1128x^34+858x^35+648x^36+442x^37+232x^38+130x^39+60x^40+30x^41+11x^42+11x^44 The gray image is a code over GF(2) with n=132, k=13 and d=52. This code was found by Heurico 1.16 in 1.67 seconds.