Prime p₀= 1292556392327226779 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: Steve Dodd
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1292555307766039787	0 2 30 32 42 44 54 56 84 86	-1084561186992
SPT(18)	1292555335750853117	0 12 14 26 80 84 104 116 132 164 180 192 212 216 270 282 284 296	-1056576373662
STPT(10)	1292555589210901529	0 2 42 44 90 92 138 140 180 182	-803116325250
SPT(16)	1292555605293137743	0 28 34 54 76 84 90 126 178 214 220 228 250 270 276 304	-787034089036
SPT(16)	1292556076850103059	0 8 14 30 60 80 134 144 224 234 288 308 338 354 360 368	-315477123720
SPT(16)	1292556212651491217	0 20 42 62 134 146 162 210 266 314 330 342 414 434 456 476	-179675735562
TPT(14)	1292556965513270759	0 2 78 80 150 152 162 164 222 224 240 242 252 254	573186043980
SPT(16)	1292557100621146391	0 6 20 26 72 78 96 98 120 122 140 146 192 198 212 218	708293919612
SPT(16)	1292557301862765377	0 32 54 104 126 134 140 150 176 186 192 200 222 272 294 326	909535538598
STPT(10)	1292557655966904599	0 2 18 20 30 32 42 44 60 62	1263639677820
SPT(16)	1292557831560362461	0 6 30 48 58 70 108 136 222 250 288 300 310 328 352 358	1439233135682