Prime p₀= 2949186757498293251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2949184571990717803	0 10 18 36 54 66 96 130 144 178 208 220 238 256 264 274	-2185507575448
SPT(16)	2949184579064928683	0 14 30 48 78 110 128 140 168 180 198 230 260 278 294 308	-2178433364568
SPT(16)	2949184694000282917	0 4 54 124 144 186 190 274 312 396 400 442 462 532 582 586	-2063498010334
SPT(16)	2949185164517495401	0 28 40 46 70 78 106 148 270 312 340 348 372 378 390 418	-1592980797850
STPT(10)	2949185560558577321	0 2 36 38 78 80 120 122 156 158	-1196939715930
SPT(16)	2949186363262987667	0 26 42 54 56 110 122 164 222 264 276 330 332 344 360 386	-394235305584
SPT(16)	2949187369416236309	0 14 132 144 170 174 218 230 252 264 308 312 338 350 468 482	611917943058
STPT(10)	2949187465203371069	0 2 18 20 30 32 42 44 60 62	707705077818
SPT(16)	2949187796566524529	0 42 48 78 120 142 154 162 190 198 210 232 274 304 310 352	1039068231278
SPT(16)	2949188272236324509	0 62 108 122 132 140 152 174 188 210 222 230 240 254 300 362	1514738031258
STPT(10)	2949188297214187331	0 2 30 32 120 122 210 212 240 242	1539715894080