Prime p₀= 2123566649818256087 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2123564652740311909	0 34 78 88 108 118 130 160 228 258 270 280 300 310 354 388	-1997077944178
SPT(16)	2123565047611614127	0 6 72 112 132 162 184 196 210 222 244 274 294 334 400 406	-1602206641960
SPT(16)	2123565108154382911	0 36 78 96 126 148 168 228 358 418 438 460 490 508 550 586	-1541663873176
STPT(10)	2123565195928244351	0 2 6 8 48 50 90 92 96 98	-1453890011736
STPT(10)	2123565456718894451	0 2 6 8 48 50 90 92 96 98	-1193099361636
SPT(16)	2123566446127509979	0 4 18 144 190 204 228 250 252 274 298 312 358 484 498 502	-203690746108
SPT(16)	2123567137256341723	0 24 78 100 136 150 178 190 204 216 244 258 294 316 370 394	487438085636
STPT(10)	2123567321826316571	0 2 6 8 18 20 30 32 36 38	672008060484
SPT(16)	2123568127506271133	0 18 74 86 90 128 140 156 158 174 186 224 228 240 296 314	1477688015046
SPT(18)	2123568245998126049	0 14 24 30 44 68 90 104 108 170 174 188 210 234 248 254 264 278	1596179869962
TPT(14)	2123568292531513271	0 2 78 80 96 98 108 110 120 122 168 170 210 212	1642713257184