Shrink-wrap flexbox with wrapping flex-items so it can be centered

Question

I have a flexbox with wrapping contents. How can I shrinkwrap the flexbox to its contents? The root problem I'm trying to solve is to center the flexbox. This image describes my issue:

How can I achieve this? Is it possible in pure CSS? I don't know beforehand if the flexbox will wrap to 1, 2 or 3 columns. The width of the elements is known. The height would preferably be unknown, but if it makes it a lot easier, I can decide on a constant height.

Neither width:min-content, width:max-content, width:fit-content nor inline-flex appear to solve the problem.

JS Fiddle: https://jsfiddle.net/oznts5bv/

.container {
  display:flex;
  flex-wrap:wrap;
  border:1px dashed magenta;
}

.container div {
  width:100px;
  height:60px;
  border:1px solid black;
}

<div class="container">
  <div>1</div>
  <div>2</div>
  <div>3</div>
  <div>4</div>
  <div>5</div>
</div>

Answer 1

Created an two examples: with display: flex;, and display: grid;. The second option will probably suit you better:

* {
  margin: 0;
  padding: 0;
  box-sizing: border-box;
}

body {
  display: flex;
  flex-direction: column;
  align-items: center;
  overflow-y: scroll;
}

.container {
  display: flex;
  flex-wrap: wrap;
  border: 1px dashed magenta;
  max-width: min(100%, 302px);
}

.container div {
  width: 100px;
  height: 60px;
  border: 1px solid black;
}

.grid {
  display: grid;
  grid-template-columns: repeat(auto-fill, minmax(100px, 1fr));
}

<input type="range" min="100" max="600" value="302" oninput="document.querySelectorAll('.container').forEach(el => el.style.maxWidth = 'min(100%, ' + this.value + 'px)')">
<div class="container">
  <div>1</div>
  <div>2</div>
  <div>3</div>
  <div>4</div>
  <div>5</div>
</div>
<br>
<div class="container grid">
  <div>1</div>
  <div>2</div>
  <div>3</div>
  <div>4</div>
  <div>5</div>
</div>