Hakhamenu z"l (our Rabbis of blessed memory) said that a man must be very particular about the Minha prayer in all its aspects, because it is a time of Din (judgement). It should be noted that the first ever prayer that was prayed was the Minha prayer by Adam HaRishon (Adam).
Rabbenu the Ari, z"l, was very particular to never pray Minha without a Hazarah (repetition), first quietly (the Lahash) and then repeated loudly, as is done during Shaharith. (It goes without saying that this requires a Minyan). He would do so even if it was quite close to sunset. Even on Friday evening before sunset, he would pray it first silently and then again repeat it out loud.
(See Moreh Be'esbah 3, Oth 128. Kaf Hahayim 232, Oth 9)
