Prime p₀= 2678318832122878337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678318086504859419	0 10 48 52 82 118 144 162 220 238 264 300 330 334 372 382	-745618018918
SPT(16)	2678318228684413373	0 60 66 144 158 168 200 216 218 234 266 276 290 368 374 434	-603438464964
STPT(10)	2678318455186354439	0 2 18 20 30 32 42 44 60 62	-376936523898
TPT(14)	2678318768372166287	0 2 30 32 60 62 90 92 132 134 222 224 240 242	-63750712050
SPT(16)	2678318772364080577	0 6 46 70 84 174 180 186 190 196 202 292 306 330 370 376	-59758797760
SPT(16)	2678318785832959531	0 10 40 52 58 78 82 118 240 276 280 300 306 318 348 358	-46289918806
TPT(14)	2678318966099050661	0 2 48 50 78 80 126 128 156 158 168 170 210 212	133976172324
STPT(10)	2678318990288253617	0 2 30 32 42 44 54 56 84 86	158165375280
STPT(10)	2678319085364887607	0 2 30 32 42 44 54 56 84 86	253242009270
TPT(14)	2678319240811486121	0 2 48 50 66 68 168 170 180 182 348 350 378 380	408688607784
STPT(10)	2678319436786761749	0 2 18 20 60 62 102 104 120 122	604663883412