Prime p₀= 2316630405743701259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2316628710764867203	0 28 46 48 90 108 126 130 294 298 316 334 376 378 396 424	-1694978834056
STPT(10)	2316629394377718221	0 2 6 8 48 50 90 92 96 98	-1011365983038
SPT(16)	2316629606658241409	0 12 72 80 134 138 162 164 168 170 194 198 252 260 320 332	-799085459850
TPT(14)	2316629685975763511	0 2 108 110 138 140 168 170 216 218 276 278 306 308	-719767937748
SPT(16)	2316629763667334761	0 42 46 60 148 156 178 210 298 330 352 360 448 462 466 508	-642076366498
SPT(16)	2316630239267084677	0 4 40 70 84 112 114 180 244 310 312 340 354 384 420 424	-166476616582
STPT(10)	2316630519657737147	0 2 12 14 72 74 132 134 144 146	113914035888
SPT(16)	2316630555897779929	0 22 34 54 64 100 132 202 282 352 384 420 430 450 462 484	150154078670
STPT(10)	2316631249776969449	0 2 42 44 60 62 78 80 120 122	844033268190
SPT(16)	2316631437513556997	0 12 54 72 74 92 96 116 120 140 144 162 164 182 224 236	1031769855738
STPT(10)	2316631894863890687	0 2 30 32 72 74 114 116 144 146	1489120189428