Prime p₀= 1096307898209049731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1096306649337668297	0 12 42 60 126 144 146 152 174 180 182 200 266 284 314 326	-1248871381434
SPT(16)	1096306929570707717	0 2 14 42 66 104 156 212 354 410 462 500 524 552 564 566	-968638342014
SPT(16)	1096306935241127903	0 24 74 104 144 186 206 254 336 384 404 446 486 516 566 590	-962967921828
SPT(16)	1096307290786564643	0 48 50 54 114 128 140 198 230 288 300 314 374 378 380 428	-607422485088
SPT(16)	1096307711191692619	0 54 70 72 100 118 124 138 184 198 204 222 250 252 268 322	-187017357112
SPT(16)	1096307843950558307	0 60 74 92 104 122 146 150 176 180 204 222 234 252 266 326	-54258491424
STPT(10)	1096308000309159689	0 2 42 44 60 62 78 80 120 122	102100109958
SPT(16)	1096308311296904417	0 20 26 54 84 96 132 206 210 284 320 332 362 390 396 416	413087854686
STPT(10)	1096308354549812021	0 2 168 170 228 230 288 290 456 458	456340762290
TPT(14)	1096308448480189799	0 2 72 74 108 110 138 140 150 152 162 164 192 194	550271140068
STPT(10)	1096308448480189907	0 2 30 32 42 44 54 56 84 86	550271140176