Prime p₀= 2338858170865556279 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2338856601680852413	0 4 10 46 54 66 76 84 136 144 154 166 174 210 216 220	-1569184703866
STPT(10)	2338856623030878647	0 2 54 56 72 74 90 92 144 146	-1547834677632
SPT(16)	2338856675234830139	0 2 20 48 98 104 114 120 152 158 168 174 224 252 270 272	-1495630726140
STPT(10)	2338857007953434999	0 2 18 20 30 32 42 44 60 62	-1162912121280
SPT(16)	2338857380099934779	0 38 108 114 144 152 170 180 182 192 210 218 248 254 324 362	-790765621500
STPT(10)	2338857585674692109	0 2 18 20 30 32 42 44 60 62	-585190864170
SPT(16)	2338858256232293977	0 16 54 76 102 156 180 192 244 256 280 334 360 382 420 436	85366737698
SPT(16)	2338858268783733877	0 52 112 120 166 190 270 300 376 406 486 510 556 564 624 676	97918177598
STPT(10)	2338859047886581019	0 2 48 50 60 62 72 74 120 122	877021024740
SPT(13)	2338859536449343153	0 24 96 126 156 186 210 234 264 294 324 396 420	1365583786874
SPT(16)	2338859979622535389	0 10 12 40 42 72 114 238 294 418 460 490 492 520 522 532	1808756979110