Prime p₀= 1126654193971646309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1126653142516024181	0 2 36 38 78 80 120 122 156 158	-1051455622128
SPT(16)	1126653545765294081	0 42 56 68 80 122 132 168 260 296 306 348 360 372 386 428	-648206352228
STPT(10)	1126653688748654489	0 2 90 92 150 152 210 212 300 302	-505222991820
SPT(16)	1126653863025908981	0 12 26 36 108 122 126 128 150 152 156 170 242 252 266 278	-330945737328
SPT(16)	1126653895656935501	0 30 38 42 62 66 92 140 198 246 272 276 296 300 308 338	-298314710808
STPT(10)	1126653982937381159	0 2 18 20 30 32 42 44 60 62	-211034265150
SPT(16)	1126654513882491079	0 10 12 94 184 220 234 322 330 418 432 468 558 640 642 652	319910844770
SPT(16)	1126654804438727947	0 10 36 52 60 64 84 94 162 172 192 196 204 220 246 256	610467081638
STPT(10)	1126655325713227391	0 2 6 8 48 50 90 92 96 98	1131741581082
SPT(16)	1126655392746377141	0 8 86 90 96 126 138 176 180 218 230 260 266 270 348 356	1198774730832
SPT(16)	1126655535022128259	0 52 120 130 142 150 154 172 210 228 232 240 252 262 330 382	1341050481950