Prime p₀= 1116992024702566937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1116989154175401391	0 136 166 216 238 280 282 352 426 496 498 540 562 612 642 778	-2870527165546
STPT(10)	1116990510660846047	0 2 30 32 72 74 114 116 144 146	-1514041720890
SPT(16)	1116990777591423421	0 10 22 36 52 82 96 112 330 346 360 390 406 420 432 442	-1247111143516
TPT(14)	1116990788749374101	0 2 6 8 78 80 300 302 318 320 426 428 498 500	-1235953192836
SPT(16)	1116990991941353071	0 28 46 70 72 112 138 142 156 160 186 226 228 252 270 298	-1032761213866
STPT(10)	1116991332948670601	0 2 30 32 120 122 210 212 240 242	-691753896336
SPT(16)	1116992377259335817	0 14 44 60 66 80 84 92 114 122 126 140 146 162 192 206	352556768880
SPT(16)	1116992838342049913	0 18 44 54 74 98 186 194 270 278 366 390 410 420 446 464	813639482976
SPT(16)	1116993189297774023	0 6 8 14 104 126 144 146 198 200 218 240 330 336 338 344	1164595207086
SPT(16)	1116993195466532623	0 64 78 130 186 226 228 238 306 316 318 358 414 466 480 544	1170763965686
SPT(16)	1116993225038543507	0 12 14 30 32 44 102 120 176 194 252 264 266 282 284 296	1200335976570