Prime p₀= 2136629662124107487 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: Coleslaw
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2136628279837024217	0 24 30 80 114 150 194 252 404 462 506 542 576 626 632 656	-1382287083270
TPT(14)	2136628507379219237	0 2 60 62 72 74 102 104 114 116 222 224 234 236	-1154744888250
STPT(10)	2136628562050082921	0 2 6 8 18 20 30 32 36 38	-1100074024566
SPT(16)	2136628834689294857	0 32 60 62 120 126 140 146 156 162 176 182 240 242 270 302	-827434812630
SPT(16)	2136628900539564443	0 48 50 68 78 90 104 138 146 180 194 206 216 234 236 284	-761584543044
STPT(10)	2136629386186737677	0 2 42 44 72 74 102 104 144 146	-275937369810
SPT(16)	2136630073117518829	0 12 34 48 58 60 148 154 258 264 352 354 364 378 400 412	410993411342
SPT(16)	2136630127111760977	0 12 22 64 72 142 156 202 294 340 354 424 432 474 484 496	464987653490
SPT(16)	2136630171756965531	0 20 26 48 62 72 98 108 170 180 206 216 230 252 258 278	509632858044
SPT(16)	2136630376502107679	0 8 12 30 42 78 90 120 152 182 194 230 242 260 264 272	714378000192
SPT(16)	2136631182293093209	0 22 42 52 58 78 84 94 138 148 154 174 180 190 210 232	1520168985722