  In this work we utilise the most recent publicly available type Ia supernova
(SN Ia) compilations and implement a well formulated cosmological model based
on Lema\^{i}tre-Tolman-Bondi metric in presence of cosmological constant
$\Lambda$ ($\Lambda$LTB) to test for signatures of large local inhomogeneities
at $z\leq0.15$. Local underdensities in this redshift range have been
previously found based on luminosity density (LD) data and galaxy number
counts. Our main constraints on the possible local void using the Pantheon SN
Ia dataset are: redshift size of $z_{\rm size}=0.068^{+0.021}_{-0.030}$;
density contrast of $\delta\Omega_0/\Omega_0=-10.5_{-7.4}^{+9.3}\%$ between
16th and 84th percentiles. Investigating the possibility to alleviate the
$\sim9\%$ disagreement between measurements of present expansion rate $H_0$
coming from calibrated local SN Ia and high-$z$ cosmic microwave background
data, we find large local void to be a very unlikely explanation alone,
consistently with previous studies. However, the level of matter inhomogeneity
at a scale of $\sim$100Mpc that is allowed by SN Ia data, although not expected
from cosmic variance calculations in standard model of cosmology, could be the
origin of additonal systematic error in distance ladder measurements based on
SN Ia. Fitting low-redshift Pantheon data with a cut $0.023<z<0.15$ to the
$\Lambda$LTB model and to the Taylor expanded luminosity distance formula we
estimate that this systematic error amounts to $1.1\%$ towards the lower $H_0$
value. A test for local anisotropy in Pantheon SN Ia data yields null evidence.
Analysis of LD data provides a constraint on contrast of large isotropic void
$\delta\Omega_0/\Omega_0=-51.9\%\pm6.3\%$, which is in $\sim4\sigma$ tension
with SN Ia results. More data are necessary to better constrain the local
matter density profile and understand the disagreement between SN and LD
samples
