Prime p₀= 2493346494651884567 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]ATA-Rolf
db: batch=82, k=12, 2 10 2 28 2 46

STPT(10)	2493345007920324599	0 2 18 20 30 32 42 44 60 62	-1486731559968
SPT(16)	2493345366335256817	0 24 52 82 96 132 172 202 234 264 304 340 354 384 412 436	-1128316627750
TPT(14)	2493345442908918137	0 2 24 26 114 116 150 152 204 206 210 212 234 236	-1051742966430
SPT(16)	2493345769280049539	0 14 98 198 204 228 294 300 338 344 410 434 440 540 624 638	-725371835028
STPT(10)	2493346253234255687	0 2 30 32 72 74 114 116 144 146	-241417628880
SPT(16)	2493346392748404341	0 30 36 68 78 98 126 140 156 170 198 218 228 260 266 296	-101903480226
SPT(16)	2493346809731400151	0 16 58 100 112 118 130 132 196 198 210 216 228 270 312 328	315079515584
STPT(10)	2493347293552453757	0 2 12 14 42 44 72 74 84 86	798900569190
SPT(16)	2493347426451633601	0 28 36 40 42 58 70 82 156 168 180 196 198 202 210 238	931799749034
STPT(10)	2493347558676049499	0 2 48 50 90 92 132 134 180 182	1064024164932
STPT(10)	2493347696264435807	0 2 30 32 42 44 54 56 84 86	1201612551240