Prime p₀= 732677453999667257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	732675494626371157	0 52 102 130 142 184 210 280 294 364 390 432 444 472 522 574	-1959373296100
SPT(16)	732675912854950789	0 40 90 102 118 154 180 228 274 322 348 384 400 412 462 502	-1541144716468
SPT(16)	732676466893354429	0 10 12 18 52 90 94 102 160 168 172 210 244 250 252 262	-987106312828
STPT(10)	732676677838739717	0 2 30 32 72 74 114 116 144 146	-776160927540
SPT(16)	732677008270582201	0 28 30 58 60 126 156 166 282 292 322 388 390 418 420 448	-445729085056
SPT(16)	732677012934774907	0 4 6 42 52 94 114 130 156 172 192 234 244 280 282 286	-441064892350
SPT(16)	732677749664311141	0 6 28 78 96 126 132 148 150 166 172 202 220 270 292 298	295664643884
SPT(16)	732678084475600457	0 6 42 50 62 152 242 260 276 294 384 474 486 494 530 536	630475933200
SPT(16)	732678217135156549	0 78 82 102 112 138 148 180 220 252 262 288 298 318 322 400	763135489292
STPT(10)	732678293740680611	0 2 30 32 78 80 126 128 156 158	839741013354
STPT(10)	732678299006754521	0 2 36 38 78 80 120 122 156 158	845007087264