Prime p₀= 1040262824567553017 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1040261280105846713	0 14 56 74 104 120 140 204 326 390 410 426 456 474 516 530	-1544461706304
STPT(10)	1040261419146423701	0 2 78 80 108 110 138 140 216 218	-1405421129316
SPT(16)	1040261679849409361	0 18 32 36 38 78 86 120 158 192 200 240 242 246 260 278	-1144718143656
STPT(10)	1040261890340460371	0 2 78 80 108 110 138 140 216 218	-934227092646
STPT(10)	1040262711936599687	0 2 30 32 42 44 54 56 84 86	-112630953330
STPT(10)	1040262717928542917	0 2 30 32 42 44 54 56 84 86	-106639010100
TPT(14)	1040263070531554319	0 2 90 92 132 134 168 170 240 242 258 260 378 380	245964001302
SPT(16)	1040263481043204881	0 26 38 50 68 108 156 218 438 500 548 588 606 618 630 656	656475651864
SPT(16)	1040264367048315677	0 20 42 50 80 144 146 182 234 270 272 336 366 374 396 416	1542480762660
STPT(10)	1040264472621647627	0 2 12 14 72 74 132 134 144 146	1648054094610
STPT(10)	1040264801192730467	0 2 54 56 72 74 90 92 144 146	1976625177450