Packing $14$ unit circles in an equilateral triangle

Packing 14 unit circles in an equilateral triangle
OwOUwUOwU, via Wikimedia Commons. CC BY-SA 4.0.

The side length of the smallest equilateral triangle into which $14$ unit circles can be packed.

Lower bound: Unknown
Upper bound: $8+2\sqrt{3}$ (≈11.4641)

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