Could anybody help me with examples of surfaces $X\subset\mathbb P^3$ (projective, over $\mathbb C$) having many isolated singularities of the type $A_1$ ($x^2+y^2+z^2=0$) or $A_2$ ($x^2+y^2+z^3=0$) and no other singular points? «Many» means «as close to the known upper bound (in terms of $\deg X$) as possible».

Thank you in advance,
Serge