Prime p₀= 2123565456718894451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 4 2 40 2

STPT(10)	2123564288901088469	0 2 18 20 60 62 102 104 120 122	-1167817805982
STPT(10)	2123564399806815809	0 2 18 20 30 32 42 44 60 62	-1056912078642
SPT(16)	2123564652740311909	0 34 78 88 108 118 130 160 228 258 270 280 300 310 354 388	-803978582542
SPT(16)	2123565047611614127	0 6 72 112 132 162 184 196 210 222 244 274 294 334 400 406	-409107280324
SPT(16)	2123565108154382911	0 36 78 96 126 148 168 228 358 418 438 460 490 508 550 586	-348564511540
STPT(10)	2123565195928244351	0 2 6 8 48 50 90 92 96 98	-260790650100
SPT(16)	2123566446127509979	0 4 18 144 190 204 228 250 252 274 298 312 358 484 498 502	989408615528
STPT(10)	2123566649818256087	0 2 30 32 42 44 54 56 84 86	1193099361636
SPT(16)	2123567137256341723	0 24 78 100 136 150 178 190 204 216 244 258 294 316 370 394	1680537447272
STPT(10)	2123567321826316571	0 2 6 8 18 20 30 32 36 38	1865107422120
SPT(16)	2123568127506271133	0 18 74 86 90 128 140 156 158 174 186 224 228 240 296 314	2670787376682