Prime p₀= 2309808629170043537 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: Drago75
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309806638943228049	0 84 98 108 128 140 158 164 204 210 228 240 260 270 284 368	-1990226815488
STPT(10)	2309807048218951637	0 2 30 32 72 74 114 116 144 146	-1580951091900
SPT(16)	2309807131528168183	0 6 70 88 90 108 118 136 150 168 178 196 198 216 280 286	-1497641875354
SPT(16)	2309807415101685901	0 48 76 96 132 180 198 208 210 220 238 286 322 342 370 418	-1214068357636
STPT(10)	2309807551169631179	0 2 18 20 60 62 102 104 120 122	-1078000412358
SPT(16)	2309808143261263807	0 4 16 42 52 66 82 96 100 114 130 144 154 180 192 196	-485908779730
STPT(10)	2309809118714092319	0 2 18 20 60 62 102 104 120 122	489544048782
SPT(16)	2309809372602862771	0 16 36 42 58 60 70 252 286 468 478 480 496 502 522 538	743432819234
SPT(16)	2309809378364600551	0 22 40 66 102 106 138 168 190 220 252 256 292 318 336 358	749194557014
SPT(16)	2309809398864569429	0 14 50 114 122 174 182 188 234 240 248 300 308 372 408 422	769694525892
SPT(16)	2309809429258701463	0 66 108 120 150 186 234 240 274 280 328 364 394 406 448 514	800088657926