Prime p₀= 2602349574640135289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Roadranner
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2602348321015570117	0 42 72 96 102 106 130 162 190 222 246 250 256 280 310 352	-1253624565172
STPT(10)	2602349155632743507	0 2 12 14 72 74 132 134 144 146	-419007391782
STPT(10)	2602349315060760227	0 2 30 32 42 44 54 56 84 86	-259579375062
STPT(10)	2602349422079139869	0 2 12 14 90 92 168 170 180 182	-152560995420
STPT(10)	2602349441545494449	0 2 48 50 90 92 132 134 180 182	-133094640840
SPT(16)	2602349570360164061	0 30 66 68 120 138 140 180 248 288 290 308 360 362 398 428	-4279971228
SPT(16)	2602350733986911519	0 14 20 24 44 62 72 132 170 230 240 258 278 282 288 302	1159346776230
SPT(16)	2602350779688906887	0 12 14 50 54 56 92 102 134 144 180 182 186 222 224 236	1205048771598
STPT(10)	2602351005125584091	0 2 36 38 78 80 120 122 156 158	1430485448802
STPT(10)	2602351079521846307	0 2 54 56 72 74 90 92 144 146	1504881711018
SPT(13)	2602351343182618931	0 18 30 60 72 150 210 270 348 360 390 402 420	1768542483642