Prime p₀= 2378638094882224919 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 76 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 120 122 132 134 162 164
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 164
Found by: arkiss
db: batch=81, k=12, 2 28 2 10 2 76

SPT(16)	2378636496667607933	0 54 60 98 120 144 234 236 318 320 410 434 456 494 500 554	-1598214616986
SPT(16)	2378636982774699403	0 30 66 96 108 124 138 154 210 226 240 256 268 298 334 364	-1112107525516
STPT(10)	2378637256221631817	0 2 24 26 42 44 60 62 84 86	-838660593102
SPT(16)	2378637859653910871	0 8 78 108 120 150 188 200 318 330 368 398 410 440 510 518	-235228314048
SPT(16)	2378638052217286313	0 18 44 54 68 110 150 200 234 284 324 366 380 390 416 434	-42664938606
STPT(10)	2378638094199913067	0 2 30 32 42 44 54 56 84 86	-682311852
TPT(14)	2378639225145423047	0 2 12 14 42 44 120 122 150 152 210 212 222 224	1130263198128
SPT(16)	2378639336435558059	0 22 34 52 78 90 100 114 118 132 142 154 180 198 210 232	1241553333140
SPT(16)	2378639636251189457	0 44 80 90 102 116 126 132 224 230 240 254 266 276 312 356	1541368964538
SPT(16)	2378640045739375667	0 6 44 90 104 194 210 216 260 266 282 372 386 432 470 476	1950857150748
SPT(16)	2378640067164442199	0 18 24 108 114 128 140 200 222 282 294 308 314 398 404 422	1972282217280