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We detect and characterise extended, diffuse radio emission from galaxyclusters at 168 MHz within the Epoch of Reionization 0-hour field: a $45^\circ\times 45^\circ$ region of the southern sky centred on R.~A.${}= 0^\circ$,decl.${}=-27^\circ$. We detect 29 sources of interest; a newly detected halo inAbell 0141; a newly detected relic in Abell 2751; 4 new halo candidates and afurther 4 new relic candidates; and a new phoenix candidate in Abell 2556.Additionally, we find 9 clusters with unclassifiable, diffuse steep-spectrumemission as well as a candidate double relic system associated with RXCJ2351.0-1934. We present measured source properties such as their integratedflux densities, spectral indices ($\alpha$, where $S_\nu \propto \nu^\alpha$),and sizes where possible. We find several of the diffuse sources to haveultra-steep spectra including the halo in Abell 0141, if confirmed, showing$\alpha \leq -2.1 \pm 0.1$ with the present data making it one of thesteepest-spectrum haloes known. Finally, we compare our sample of haloes withpreviously detected haloes and revisit established scaling relations of theradio halo power ($P_{1.4}$) with the cluster X-ray luminosity($L_{\mathrm{X}}$) and mass ($M_{500}$). We find that the newly detected haloesand candidate haloes are consistent with the $P_{1.4}$-$L_{\mathrm{X}}$ and$P_{1.4}$-$M_{500}$ relations, and see an increase in scatter in the previouslyfound relations with increasing sample size likely caused by inhomogeneousdetermination of $P_{1.4}$ across the full halo sample. We show that the MWA iscapable of detecting haloes and relics within most of the galaxy clusterswithin the Planck catalogue of Sunyaev-Zel'dovich sources depending on exacthalo or relic properties.

Diffuse galaxy cluster emission at 168 MHz within the Murchison Widefield Array Epoch of Reionization 0-hour field