Prime p₀= 2319256297464163877 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2319255484589221427	0 2 30 32 42 44 54 56 84 86	-812874942450
STPT(10)	2319255553660009631	0 2 6 8 18 20 30 32 36 38	-743804154246
SPT(16)	2319255612061572511	0 10 18 60 88 90 106 138 160 192 208 210 238 280 288 298	-685402591366
SPT(16)	2319255662499972929	0 12 24 68 78 80 90 104 168 182 192 194 204 248 260 272	-634964190948
STPT(10)	2319255894279882821	0 2 6 8 48 50 90 92 96 98	-403184281056
STPT(10)	2319256291177568777	0 2 60 62 72 74 84 86 144 146	-6286595100
SPT(16)	2319256418718657503	0 18 26 96 140 150 170 210 224 264 284 294 338 408 416 434	121254493626
STPT(10)	2319256453245977657	0 2 24 26 42 44 60 62 84 86	155781813780
STPT(12)	2319256594023879359	0 2 12 14 42 44 48 50 78 80 90 92	296559715482
SPT(16)	2319256655802628247	0 26 32 44 62 116 132 140 156 164 180 234 252 264 270 296	358338464370
SPT(16)	2319256913025949661	0 30 42 50 120 140 156 162 290 296 312 332 402 410 422 452	615561785784