  We present the high-temperature expansion (HTE) up to 10th order of the
specific heat C and the uniform susceptibility \chi for Heisenberg models with
arbitrary exchange patterns and arbitrary spin quantum number s. We encode the
algorithm in a C++ program which allows to get explicitly the HTE series for
concrete Heisenberg models. We apply our algorithm to pyrochlore ferromagnets
and kagome antiferromagnets using several Pad\'e approximants for the HTE
series. For the pyrochlore ferromagnet we use the HTE data for \chi to estimate
the Curie temperature T_c as a function of the spin quantum number s. We find
that T_c is smaller than that for the simple cubic lattice, although both
lattices have the same coordination number. For the kagome antiferromagnet the
influence of the spin quantum number s on the susceptibility as a function of
renormalized temperature T/s(s+1) is rather weak for temperatures down to
T/s(s+1) \sim 0.3. On the other hand, the specific heat as a function of
T/s(s+1) noticeably depends on s. The characteristic maximum in C(T) is
monotonously shifted to lower values of T/s(s+1) when increasing s.
