Integrated pulse profiles at 8.6 GHz obtained with the Shanghai Tian Ma Radio Telescope (TMRT) are presented for a sample of 26 pulsars. Mean flux densities and pulse width parameters of these pulsars are estimated. For 11 pulsars these are the first high-frequency observations and for a further four, our observations have a better signal-to-noise ratio than previous observations. For one (PSR J0742-2822), the 8.6 GHz profile differs from previously observed profiles. A comparison of 19 profiles with those at other frequencies shows that in nine cases, the separation between the outmost leading and trailing components decreases with frequency, which is roughly in agreement with radius-to-frequency mapping, whereas in the other 10 the separation is nearly constant. Different spectral indices of profile components lead to the variation of integrated pulse profile shapes with frequency. In seven pulsars with multi-component profiles, the spectral indices of the central components are steeper than those of the outer components. For the 12 pulsars with multi-component profiles in the high-frequency sample, we estimate the core width using Gaussian fitting and discuss the width-period relationship.