The generator matrix 1 1 1 1 X X X 1 1 1 X 1 X X X X 0 X 0 X 0 X X 0 0 X X^2 X X^2 0 X X 0 0 X X X X 0 0 X^2+X X X X^2 X 0 X X 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 generates a code of length 16 over Z2[X]/(X^3) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+75x^8+320x^10+1222x^12+3264x^14+6615x^16+3264x^18+1236x^20+320x^22+61x^24+6x^28 The gray image is a linear code over GF(2) with n=64, k=14 and d=16. This code was found by Heurico 1.16 in 0.641 seconds.