Prime p₀= 2507377635427270559 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 112 2 64 2 112 2 16 2 (?)
a_n: 0 2 18 20 132 134 198 200 312 314 330 332
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: 332
Found by: JayPi
db: batch=82, k=12, 2 16 2 112 2 64

TPT(14)	2507376512346333239	0 2 78 80 108 110 138 140 150 152 210 212 252 254	-1123080937320
STPT(10)	2507376707460826037	0 2 42 44 72 74 102 104 144 146	-927966444522
STPT(10)	2507376739525087217	0 2 60 62 72 74 84 86 144 146	-895902183342
TPT(14)	2507377050066725579	0 2 138 140 150 152 198 200 222 224 240 242 252 254	-585360544980
SPT(16)	2507377210609021039	0 22 58 60 64 72 90 100 132 142 160 168 172 174 210 232	-424818249520
STPT(10)	2507377448239969607	0 2 30 32 42 44 54 56 84 86	-187187300952
SPT(16)	2507377965712853533	0 76 94 126 174 208 210 258 286 334 336 370 418 450 468 544	330285582974
STPT(10)	2507378069950381169	0 2 12 14 90 92 168 170 180 182	434523110610
STPT(12)	2507378364951914477	0 2 60 62 84 86 90 92 114 116 174 176	729524643918
STPT(10)	2507378862108511211	0 2 6 8 18 20 30 32 36 38	1226681240652
SPT(16)	2507378912177232931	0 12 18 36 90 186 210 222 286 298 322 418 472 490 496 508	1276749962372