The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 0 0 0 1 1 X 0 X 0 0 0 0 0 0 0 X+2 X X X 0 X X+2 2 X+2 0 2 2 2 X+2 2 X X 0 0 X X X+2 X+2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 X+2 0 X+2 X+2 X 2 0 2 X+2 2 X+2 0 X+2 X X X+2 X+2 2 X+2 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 X X+2 2 2 X 2 X 2 X+2 X+2 0 0 X+2 0 X+2 0 X 0 0 X 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 2 0 X+2 0 X 2 0 X+2 2 2 X 0 X X X+2 0 X+2 X+2 X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 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+78x^25+149x^26+174x^27+255x^28+256x^29+726x^30+312x^31+1954x^32+360x^33+1937x^34+374x^35+735x^36+280x^37+236x^38+150x^39+119x^40+50x^41+22x^42+12x^43+6x^44+1x^46+2x^47+2x^48+1x^54 The gray image is a code over GF(2) with n=132, k=13 and d=50. This code was found by Heurico 1.16 in 2.13 seconds.