Prime p₀= 1301268432342581627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: vaughan
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1301266779435547531	0 12 48 78 88 148 162 166 252 256 270 330 340 370 406 418	-1652907034096
SPT(16)	1301267442609444707	0 20 56 66 80 90 132 146 180 194 236 246 260 270 306 326	-989733136920
SPT(16)	1301267643093789121	0 48 90 108 210 246 258 268 330 340 352 388 490 508 550 598	-789248792506
STPT(10)	1301268097588086911	0 2 6 8 48 50 90 92 96 98	-334754494716
SPT(16)	1301268202401248581	0 16 58 78 108 118 136 148 168 180 198 208 238 258 300 316	-229941333046
STPT(10)	1301268259175419901	0 2 36 38 78 80 120 122 156 158	-173167161726
SPT(16)	1301268644125191437	0 12 20 54 66 80 152 182 204 234 306 320 332 366 374 386	211782609810
SPT(16)	1301268712813665823	0 30 34 40 54 76 106 126 148 168 198 220 234 240 244 274	280471084196
SPT(16)	1301268717197686619	0 90 104 144 188 194 258 270 302 314 378 384 428 468 482 572	284855104992
SPT(16)	1301268809671590343	0 6 64 136 168 180 234 238 246 250 304 316 348 420 478 484	377329008716
STPT(10)	1301269529577774857	0 2 42 44 72 74 102 104 144 146	1097235193230