Prime p₀= 2339690231622654899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: herby44
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2339689328327814887	0 2 12 14 54 56 84 86 114 116 132 134 144 146	-903294840012
SPT(16)	2339689535645627383	0 18 28 64 70 78 108 130 144 166 196 204 210 246 256 274	-695977027516
SPT(16)	2339689785997465751	0 20 62 72 78 170 176 188 240 252 258 350 356 366 408 428	-445625189148
STPT(10)	2339689854041283839	0 2 18 20 30 32 42 44 60 62	-377581371060
SPT(16)	2339689999541130521	0 8 32 50 68 132 162 242 336 416 446 510 528 546 570 578	-232081524378
STPT(10)	2339690011926906797	0 2 12 14 72 74 132 134 144 146	-219695748102
STPT(10)	2339690329482029021	0 2 36 38 78 80 120 122 156 158	97859374122
STPT(10)	2339690551807979327	0 2 60 62 72 74 84 86 144 146	320185324428
STPT(10)	2339691254080388189	0 2 42 44 60 62 78 80 120 122	1022457733290
STPT(12)	2339691314762447717	0 2 12 14 30 32 192 194 210 212 222 224	1083139792818
SPT(16)	2339691318007782107	0 20 26 36 42 80 96 144 182 230 246 284 290 300 306 326	1086385127208