Prime p₀= 2343321667643515589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2343320624411129329	0 10 18 52 54 58 94 130 162 198 234 238 240 274 282 292	-1043232386260
SPT(16)	2343320681027837123	0 8 18 78 104 110 120 140 174 194 204 210 236 296 306 314	-986615678466
STPT(10)	2343320865657843077	0 2 30 32 42 44 54 56 84 86	-801985672512
SPT(16)	2343321300418717051	0 12 30 82 112 130 156 160 192 196 222 240 270 322 340 352	-367224798538
SPT(16)	2343321549778115947	0 34 40 46 52 60 66 112 144 190 196 204 210 216 222 256	-117865399642
STPT(10)	2343321664923665519	0 2 18 20 30 32 42 44 60 62	-2719850070
STPT(10)	2343321790186521899	0 2 18 20 30 32 42 44 60 62	122543006310
STPT(10)	2343322184826127319	0 2 12 14 90 92 168 170 180 182	517182611730
SPT(16)	2343322311515579029	0 42 60 88 102 138 142 150 172 180 184 220 234 262 280 322	643872063440
SPT(16)	2343322370294279921	0 18 30 68 110 120 128 138 182 192 200 210 252 290 302 320	702650764332
SPT(16)	2343322519244953579	0 34 42 54 84 112 120 154 258 292 300 328 358 370 378 412	851601437990