Prime p₀= 2319256453245977657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2319255612061572511	0 10 18 60 88 90 106 138 160 192 208 210 238 280 288 298	-841184405146
SPT(16)	2319255662499972929	0 12 24 68 78 80 90 104 168 182 192 194 204 248 260 272	-790746004728
STPT(10)	2319255894279882821	0 2 6 8 48 50 90 92 96 98	-558966094836
STPT(10)	2319256291177568777	0 2 60 62 72 74 84 86 144 146	-162068408880
STPT(10)	2319256297464163877	0 2 30 32 42 44 54 56 84 86	-155781813780
SPT(16)	2319256418718657503	0 18 26 96 140 150 170 210 224 264 284 294 338 408 416 434	-34527320154
STPT(12)	2319256594023879359	0 2 12 14 42 44 48 50 78 80 90 92	140777901702
SPT(16)	2319256655802628247	0 26 32 44 62 116 132 140 156 164 180 234 252 264 270 296	202556650590
SPT(16)	2319256913025949661	0 30 42 50 120 140 156 162 290 296 312 332 402 410 422 452	459779972004
SPT(16)	2319256955990889751	0 22 30 70 126 132 156 160 168 172 196 202 258 298 306 328	502744912094
SPT(16)	2319256988974798669	0 12 54 114 118 132 144 150 202 208 220 234 238 298 340 352	535728821012