Prime p₀= 2999303283125239427 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2999301687763055161	0 18 36 40 42 48 76 82 126 132 160 166 168 172 190 208	-1595362184266
SPT(16)	2999302095321525869	0 30 38 84 98 128 134 140 222 228 234 264 278 324 332 362	-1187803713558
SPT(16)	2999302425215377087	0 24 34 66 102 136 184 196 300 312 360 394 430 462 472 496	-857909862340
SPT(16)	2999302519447639799	0 62 78 98 102 120 132 144 248 260 272 290 294 314 330 392	-763677599628
SPT(16)	2999303078212686997	0 34 52 64 154 162 180 190 264 274 292 300 390 402 420 454	-204912552430
SPT(16)	2999303117493636271	0 16 48 58 168 226 286 318 328 360 420 478 588 598 630 646	-165631603156
SPT(16)	2999303486146647079	0 4 22 70 88 100 102 124 168 190 192 204 222 270 288 292	203021407652
STPT(10)	2999303959715247827	0 2 24 26 42 44 60 62 84 86	676590008400
STPT(10)	2999304360178147949	0 2 12 14 90 92 168 170 180 182	1077052908522
TPT(14)	2999304403102988807	0 2 30 32 72 74 180 182 192 194 210 212 222 224	1119977749380
STPT(10)	2999304405982756187	0 2 30 32 42 44 54 56 84 86	1122857516760