Prime p₀= 1597463389621104869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=78, k=12, 2 10 2 28 2 46

SPT(16)	1597462003705403281	0 6 10 52 70 90 102 130 342 370 382 402 420 462 466 472	-1385915701588
SPT(16)	1597462561312689037	0 10 36 72 84 102 106 114 142 150 154 172 184 220 246 256	-828308415832
STPT(10)	1597462715686129889	0 2 42 44 60 62 78 80 120 122	-673934974980
STPT(10)	1597462778418907451	0 2 6 8 18 20 30 32 36 38	-611202197418
SPT(16)	1597463033263233911	0 36 42 90 98 180 192 290 318 416 428 510 518 566 572 608	-356357870958
STPT(12)	1597463347676087777	0 2 30 32 54 56 90 92 114 116 144 146	-41945017092
STPT(10)	1597463651451616769	0 2 18 20 30 32 42 44 60 62	261830511900
SPT(16)	1597463776318752241	0 12 48 76 82 118 172 208 210 246 300 336 342 370 406 418	386697647372
SPT(16)	1597464032758220573	0 74 78 84 104 116 144 156 188 200 228 240 260 266 270 344	643137115704
STPT(10)	1597464079250271899	0 2 42 44 120 122 198 200 240 242	689629167030
SPT(13)	1597464171758518171	0 6 36 66 78 96 108 120 138 150 180 210 216	782137413302