Prime p₀= 2544004287713533121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2544003505667075891	0 18 32 48 98 102 126 138 140 152 176 180 230 246 260 278	-782046457230
STPT(10)	2544003584254775297	0 2 30 32 72 74 114 116 144 146	-703458757824
STPT(10)	2544003659545476671	0 2 6 8 48 50 90 92 96 98	-628168056450
SPT(16)	2544003904007206691	0 30 42 56 150 180 198 218 240 260 278 308 402 416 428 458	-383706326430
STPT(10)	2544003936354730649	0 2 48 50 60 62 72 74 120 122	-351358802472
SPT(16)	2544003977575375699	0 10 18 52 60 72 82 112 168 198 208 220 228 262 270 280	-310138157422
SPT(16)	2544004345458748943	0 38 84 86 108 116 134 140 144 150 168 176 198 200 246 284	57745215822
STPT(10)	2544004903721991119	0 2 12 14 90 92 168 170 180 182	616008457998
SPT(16)	2544005570392352399	0 54 62 78 98 152 168 180 182 194 210 264 284 300 308 362	1282678819278
STPT(10)	2544006014501871947	0 2 30 32 42 44 54 56 84 86	1726788338826
TPT(14)	2544006059402631917	0 2 90 92 120 122 174 176 300 302 342 344 372 374	1771689098796