Prime p₀= 2310443812487212247 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: FritzB
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2310441451558910639	0 2 12 14 30 32 48 50 60 62	-2360928301608
SPT(16)	2310441811132304191	0 18 60 90 108 112 138 150 160 172 198 202 220 250 292 310	-2001354908056
TPT(14)	2310441878799122441	0 2 90 92 126 128 216 218 228 230 336 338 396 398	-1933688089806
SPT(16)	2310442836093174787	0 34 36 96 112 132 190 222 274 306 364 384 400 460 462 496	-976394037460
SPT(16)	2310442884296125079	0 18 44 62 72 78 120 132 140 152 194 200 210 228 254 272	-928191087168
SPT(16)	2310443643580746137	0 14 32 50 84 140 162 192 302 332 354 410 444 462 480 494	-168906466110
SPT(16)	2310443900469401101	0 6 18 42 48 58 88 126 172 210 240 250 256 280 292 298	87982188854
STPT(10)	2310444092962635527	0 2 42 44 102 104 162 164 204 206	280475423280
STPT(10)	2310444490089715937	0 2 42 44 72 74 102 104 144 146	677602503690
STPT(10)	2310444556731485357	0 2 30 32 42 44 54 56 84 86	744244273110
SPT(16)	2310444586862024231	0 12 48 80 110 126 188 212 216 240 302 318 348 380 416 428	774374811984