Prime p₀= 1623566620213349129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: biodoc
db: batch=78, k=10, 2 46 2 40 2

SPT(16)	1623565321583293549	0 28 40 52 94 130 172 174 178 180 222 258 300 312 324 352	-1298630055580
STPT(10)	1623565600037600897	0 2 60 62 72 74 84 86 144 146	-1020175748232
SPT(16)	1623565772544536789	0 12 128 134 170 210 234 254 288 308 332 372 408 414 530 542	-847668812340
SPT(16)	1623565790415250771	0 22 36 60 102 172 216 250 342 376 420 490 532 556 570 592	-829798098358
TPT(14)	1623566506228527317	0 2 72 74 84 86 90 92 132 134 144 146 162 164	-113984821812
SPT(16)	1623566597456426869	0 54 94 100 124 138 148 190 198 240 250 264 288 294 334 388	-22756922260
STPT(10)	1623566632290371981	0 2 36 38 78 80 120 122 156 158	12077022852
STPT(12)	1623566674230794471	0 2 78 80 120 122 126 128 168 170 246 248	54017445342
STPT(10)	1623566921597676569	0 2 42 44 90 92 138 140 180 182	301384327440
STPT(10)	1623567117923540687	0 2 72 74 102 104 132 134 204 206	497710191558
SPT(16)	1623567230771684413	0 10 24 40 88 150 174 180 244 250 274 336 384 400 414 424	610558335284