For $B=S^{2}$ and $B^{sing}=\{x_{1},\dots,x_{24}\}$ with the standard singular ${\bf Z}$-affine structure we have constructed a $K$-analytic K3 surface depending on $20$ parameters in $K^{\times}$. More precisely, we have a $20$-dimensional $K$-analytic space of conjugacy classes of representations

$$\pi_{1}(S^{2}\setminus B^{sing})\to SL(2,{{\bf Z}})\ltimes(K^{\times})^{2}$$

such that the monodromy around each singular point is conjugate to the pair $(A,(1,1))$ where $A\in SL(2,{{\bf Z}})$ is equal to

$$\left(\begin{array}[]{cc}1&1\\ 0&1\end{array}\right)\,\,.$$

(compare with Section 3.3).