In a previous paper [4], we introduced the notion of real
quadratic fields with period $l$ of minimal type in
terms of continued fractions. As a consequence, we have to
examine a construction of real quadratic fields with period
$\ge 5$ of minimal type in order to find many real quadratic
fields of class number 1. When $l \ge 4$, it appears that
there exist infinitely many real quadratic fields with period
$l$ of minimal type. Indeed, we provided an infinitude of
real quadratic fields with period 4 of minimal type in [4].
In this paper, we construct an infinite family of real quadratic
fields with large even period of minimal type whose class
number is greater than any given positive integer, and whose
Yokoi invariant is greater than any given positive integer.