We construct via linkage an arithmetically Gorenstein 3-fold $X = X_{12} \cup X_{4} \subset \bf{P}^7$, of degree 16, having Betti table of type [441], and is on component [441a]. For an artinian reduction $A_F$, the quadratic part of the ideal $F^\perp$ is the ideal of a conic and an independant point p, and $F^\perp$ contains pencils of ideals of five points on the conic and the point p. So we construct $X_{12}$ in a pencil of codimension 3 varieties of degree 5 in a quadric in a P6, and $X_{4}$ in an independant P4. In the construction the intersection $X\cup X'$ of a component $X$ with the other is an anticanonical divisor on $X$.
The Betti table is $\phantom{WWWW} \begin{matrix} &0&1&2&3&4\\ \text{total:}&1&9&16&9&1\\ \text{0:}&1&\text{.}&\text{.}&\text{.}&\text{.}\\ \text{1:}&\text{.}&4&4&1&\text{.}\\ \text{2:}&\text{.}&4&8&4&\text{.}\\ \text{3:}&\text{.}&1&4&4&\text{.}\\ \text{4:}&\text{.}&\text{.}&\text{.}&\text{.}&1\\ \end{matrix} $
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