Two types of satipaṭṭhāna - which has jhana? In Mindfulness, Bliss, and Beyond,  Ajahn Brahm writes -


  The Buddha taught two types of satipaṭṭhāna. The first type is supported by jhāna and leads to enlightenment in a short time.


Which satipaṭṭhāna is the first type, and where can it be found ? (By "two types" does he mean the two versions DN 22 and MN 10?)  Please reference both types and specify which is the "first type".
Which satipaṭṭhāna is this, and where can it be found?

This is the direct path for purifying of beings, for overcoming sorrow and distress, for vanquishing pain and distress, for attaining the right approach, for realizing Nirvana – namely, the four applications mindfulness’

Was this the satipaṭṭhāna which led to the Buddha's awakening?

My heart, thus knowing, thus seeing, was released from the fermentation of sensuality, released from the fermentation of becoming, released from the fermentation of ignorance. With release, there was the knowledge, 'Released.' I discerned that 'Birth is ended, the holy life fulfilled, the task done. There is nothing further for this world.'