Prime p₀= 1273758231346977989 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1273757068731263021	0 2 6 8 48 50 90 92 96 98	-1162615714968
STPT(12)	1273757270033719517	0 2 12 14 54 56 90 92 132 134 144 146	-961313258472
SPT(16)	1273757682509619143	0 6 14 26 48 110 114 140 174 200 204 266 288 300 308 314	-548837358846
SPT(16)	1273757879392573787	0 6 14 36 44 50 90 114 176 200 240 246 254 276 284 290	-351954404202
SPT(16)	1273757946337187551	0 16 18 22 42 60 76 106 282 312 328 346 366 370 372 388	-285009790438
STPT(10)	1273758130628784011	0 2 30 32 78 80 126 128 156 158	-100718193978
STPT(10)	1273758285814464347	0 2 42 44 72 74 102 104 144 146	54467486358
SPT(16)	1273758334142793281	0 2 90 122 128 188 206 216 272 282 300 360 366 398 486 488	102795815292
SPT(16)	1273758487188884891	0 8 32 36 102 138 152 182 186 216 230 266 332 336 360 368	255841906902
STPT(10)	1273759254711797561	0 2 108 110 138 140 168 170 276 278	1023364819572
STPT(10)	1273759616287846757	0 2 24 26 42 44 60 62 84 86	1384940868768