a Quatrain
A stanza of two lines is called a couplet.
a sestet.
Four lined poem or stanza
A four-line stanza is called a quatrain.
A 3 lined stanza from a poem that can or doesn't half to rime.
A miscellaneous 8 line stanza is called an octet. But the 8 line stanza which forms the first verse of a sonnet is called an octave, and the commonest form of 8 line stanza (by far) in English is called ottava rima.
A stanza of four lines is called a quatrain.
A 5 line stanza is called a cinquain
a stanza with 5 lines is called a sestet
A stanza of two lines is called a couplet.
Oh honey, that's just a quatrain. Four stanzas with four lines each? That's just a 16-line poem, no need to make it sound fancier than it is. So go ahead, pen down those four-lined stanzas and call it a day.
I believe you are looking for the word STANZA