Here are the latest additions to the BEATA type:
CONSTANTINE II AE3 19mm 3.18g Follis/Nummus
OBV: CONSTANTINVS · IVN · COS · II · laureate, draped, wearing trabea, Victory on globe in r. hand bust l.
REV: BEATA TRANQVILLITAS; altar with globe above, 3 stars above the globe, inscribed with VO/TIS/XX; C - R in fields
EXE: PLG, Lugdunum mint.
REF: RIC VII Lugdunum/Lyons 141, rated R4 (close to an actual rarity I'd say) 321AD.
Very rare dated issue from Constantine II's 2nd consulship. This type of bust is misdescribed in RIC as I1 but it only has the Victory on globe as adjuncts, no others in his left hand.
and:
CONSTANTINE II AE3 18mm 2.8g Follis/Nummus
CONSTANTINVS IVN NOB C; laureate, draped, wearing trabea, victory on globe in right hand, sceptre raised in left hand bust l.
REV: BEATA TRAN *** QVILLITAS; altar w/ globe, inscribed w/ VO/TIS/XX
EXE: ·PTR crescent, Trier mint.
REF: RIC VII Trier - unlisted for the bust type, which is either not recorded in RIC or misrecorded. Should be after RIC VII Trier 410, very rare R5. 323AD.
Lech suggested that this bust type is actually the I2 recorded in RIC but misdescribed.
I think it's a very interesting and intriguing issue, insufficiently studied. I don't have RMBT so this is the only example I have seen of the type w/ bust left.