The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 X+2 1 X+2 1 2 1 1 1 1 X 1 X X+2 X 0 1 2 0 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 X+3 X+2 1 X 1 X+3 1 2 X+2 X+2 X+1 2 1 X+2 1 X+2 X 2 1 0 X+2 0 0 X 0 0 0 0 X X X+2 0 X X+2 2 X+2 X+2 X+2 0 2 X+2 0 2 2 X X+2 X+2 0 X 2 0 X 2 X+2 0 0 0 X 0 0 0 0 0 0 2 2 X X X X X+2 X+2 X+2 X 2 0 X+2 2 X+2 X+2 0 X+2 X X+2 2 2 X 0 0 0 0 X X+2 X+2 X X+2 X 2 2 X+2 X 0 X+2 X+2 2 0 X+2 X 0 X+2 2 X+2 X X+2 2 X 0 X+2 X 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+72x^25+171x^26+386x^27+598x^28+894x^29+1304x^30+1672x^31+2022x^32+2130x^33+2031x^34+1680x^35+1323x^36+930x^37+563x^38+352x^39+149x^40+70x^41+26x^42+6x^43+3x^44+1x^62 The gray image is a code over GF(2) with n=132, k=14 and d=50. This code was found by Heurico 1.16 in 5.51 seconds.