Prime p₀= 1597463347676087777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=78, k=12, 2 28 2 22 2 34

SPT(16)	1597461661841548081	0 22 28 36 78 88 112 130 168 186 210 220 262 270 276 298	-1685834539696
SPT(16)	1597462003705403281	0 6 10 52 70 90 102 130 342 370 382 402 420 462 466 472	-1343970684496
SPT(16)	1597462561312689037	0 10 36 72 84 102 106 114 142 150 154 172 184 220 246 256	-786363398740
STPT(10)	1597462715686129889	0 2 42 44 60 62 78 80 120 122	-631989957888
STPT(10)	1597462778418907451	0 2 6 8 18 20 30 32 36 38	-569257180326
SPT(16)	1597463033263233911	0 36 42 90 98 180 192 290 318 416 428 510 518 566 572 608	-314412853866
STPT(12)	1597463389621104869	0 2 12 14 42 44 90 92 120 122 132 134	41945017092
STPT(10)	1597463651451616769	0 2 18 20 30 32 42 44 60 62	303775528992
SPT(16)	1597463776318752241	0 12 48 76 82 118 172 208 210 246 300 336 342 370 406 418	428642664464
SPT(16)	1597464032758220573	0 74 78 84 104 116 144 156 188 200 228 240 260 266 270 344	685082132796
STPT(10)	1597464079250271899	0 2 42 44 120 122 198 200 240 242	731574184122