  Surface brightness -- colour relations (SBCRs) are very useful tools for
predicting the angular diameters of stars. They offer the possibility to
calculate very precise spectrophotometric distances by the eclipsing binary
method or the Baade-Wesselink method. Double-lined Detached Eclipsing Binary
stars (SB2 DEBs) with precisely known trigonometric parallaxes allow for a
calibration of SBCRs with unprecedented precision. In order to improve such
calibrations, it is important to enlarge the calibration sample of suitable
eclipsing binaries with very precisely determined physical parameters.
  We carefully chose a sample of ten SB2 DEBs in the solar neighbourhood which
contain inactive main-sequence components. The components have spectral types
from early A to early K. All systems have high-precision parallaxes from the
Gaia mission. We analysed high precision ground- and space-based photometry
simultaneously with the radial velocity curves derived from HARPS spectra. We
used spectral disentangling to obtain the individual spectra of the components
and used these to derive precise atmospheric parameters and chemical
abundances. For almost all components, we derived precise surface temperatures
and metallicities.
  We derived absolute dimensions for 20 stars with an average precision of 0.2%
and 0.5% for masses and radii, respectively. Three systems show slow apsidal
motion. One system, HD 32129, is most likely a triple system with a much
fainter K6V companion. Also three systems contain metallic-line components and
show strong enhancements of barium and ittrium. The components of all systems
compare well to the SBCR derived before from the detached eclipsing binary
stars. With a possible exception of HD 32129, they can be used to calibrate
SBCRs with a precision better than 1% with available Gaia DR3 parallaxes.
