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 X^2 0 1 0 0 0 1 1 X 0 X 0 0 0 0 0 0 0 X^2+X X X X 0 X X^2+X X^2 X^2+X 0 X^2 X^2 X^2 X^2+X X^2 X X 0 0 X X X^2+X X^2+X 0 0 0 X 0 0 0 X X^2+X X X^2 X X^2+X 0 X^2+X 0 X^2+X X^2+X X X^2 0 X^2 X^2+X X^2 X^2+X 0 X^2+X X X X^2+X X^2+X X^2 X^2+X 0 0 0 0 X 0 X X X 0 X^2+X X^2 X X^2+X X X^2+X X^2 X^2 X X^2 X X^2 X^2+X X^2+X 0 0 X^2+X 0 X^2+X 0 X 0 0 X 0 0 0 0 X X 0 X X^2+X X 0 X X^2 X^2+X X^2 0 X^2+X 0 X X^2 0 X^2+X X^2 X^2 X 0 X X X^2+X 0 X^2+X X^2+X X^2+X 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 generates a code of length 33 over Z2[X]/(X^3) 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 linear code over GF(2) with n=132, k=13 and d=50. This code was found by Heurico 1.16 in 2.06 seconds.