The diffuse interstellar bands (DIBs) are a set of hundreds of unidentified absorption features that appear almost ubiquitously throughout the interstellar medium. Most DIBs appear at optical wavelengths, but some are in the near-infrared. We aim to characterise near-infrared DIBs at high spectral resolving power towards multiple targets. We observed 76 early-type stars at a resolving power of 50000 (velocity resolution ~6km/s) and signal-to-noise ratios of several hundreds using the CRyogenic high-resolution InfraRed Echelle Spectrograph (CRIRES). These data allow us to investigate the DIBs around 1318.1, 1527.4, 1561.1, 1565.1, 1567.0, 1574.4, and 1624.2nm. We detected a total of six DIB features and 17 likely stellar features through comparisons with a model spectrum computed with cmfgen. Additionally, we measured equivalent widths of the DIBs at 1318.1 and 1527.4nm using observations with X-shooter towards ten very highly reddened (3.2