Prime p₀= 1411802402657666741 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Theadalus
db: batch=78, k=10, 2 124 2 10 2

SPT(16)	1411800538937730631	0 28 42 46 120 148 156 252 286 382 390 418 492 496 510 538	-1863719936110
SPT(16)	1411800829053064721	0 8 32 36 50 60 122 140 168 186 248 258 272 276 300 308	-1573604602020
SPT(16)	1411801320944127119	0 32 44 54 110 114 158 168 284 294 338 342 398 408 420 452	-1081713539622
SPT(16)	1411801587997611203	0 8 66 78 86 120 138 156 248 266 284 318 326 338 396 404	-814660055538
STPT(10)	1411802231569405769	0 2 30 32 60 62 90 92 120 122	-171088260972
STPT(10)	1411802282437427987	0 2 30 32 42 44 54 56 84 86	-120220238754
SPT(16)	1411802984740555963	0 6 10 28 54 66 78 108 136 166 178 190 216 234 238 244	582082889222
STPT(10)	1411803013131750917	0 2 12 14 42 44 72 74 84 86	610474084176
STPT(10)	1411803128703226277	0 2 12 14 72 74 132 134 144 146	726045559536
STPT(10)	1411803688352189981	0 2 36 38 78 80 120 122 156 158	1285694523240
SPT(16)	1411803727848814681	0 6 12 30 40 96 162 168 280 286 352 408 418 436 442 448	1325191147940