Prime p₀= 2123425506340748609 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2123424213423826297	0 34 46 54 66 84 90 96 124 130 136 154 166 174 186 220	-1292916922312
STPT(10)	2123424254747993339	0 2 18 20 30 32 42 44 60 62	-1251592755270
SPT(16)	2123424259890718297	0 52 76 84 94 142 156 162 184 190 204 252 262 270 294 346	-1246450030312
SPT(16)	2123425123117759561	0 16 18 58 72 88 100 106 192 198 210 226 240 280 282 298	-383222989048
STPT(12)	2123425308867647429	0 2 12 14 72 74 78 80 138 140 150 152	-197473101180
SPT(16)	2123425489675402519	0 22 34 54 60 124 144 204 220 280 300 364 370 390 402 424	-16665346090
STPT(10)	2123425988938573127	0 2 30 32 42 44 54 56 84 86	482597824518
SPT(16)	2123426172028394171	0 12 72 78 102 116 120 180 368 428 432 446 470 476 536 548	665687645562
SPT(16)	2123426295804438433	0 58 76 84 124 144 190 216 238 264 310 330 370 378 396 454	789463689824
STPT(10)	2123426553827459729	0 2 30 32 60 62 90 92 120 122	1047486711120
SPT(16)	2123426589794782751	0 72 98 120 140 182 188 218 300 330 336 378 398 420 446 518	1083454034142