The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 X 1 0 1 1 1 X 1 0 1 1 1 1 X 0 1 1 1 X^2 1 1 X X X 1 X 1 1 1 1 0 X 0 X^2+X 0 X^2+X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2+X X^2+X X^2+X X 0 0 0 X^2+X X^2+X X 0 X^2+X 0 X^2 X^2+X X X^2+X X X^2+X X^2 X^2+X 0 X^2 X^2+X X^2+X X X^2+X 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 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 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+66x^32+56x^34+8x^35+193x^36+78x^37+186x^38+178x^39+485x^40+454x^41+882x^42+1274x^43+1406x^44+2124x^45+1646x^46+2068x^47+1417x^48+1260x^49+906x^50+508x^51+403x^52+166x^53+278x^54+58x^55+111x^56+14x^57+102x^58+2x^59+13x^60+34x^62+6x^66+1x^76 The gray image is a linear code over GF(2) with n=184, k=14 and d=64. This code was found by Heurico 1.16 in 12.5 seconds.