Prime p₀= 2581298878225687517 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 28 2 10

SPT(16)	2581297238306573851	0 70 72 88 108 148 150 168 172 190 192 232 252 268 270 340	-1639919113666
SPT(16)	2581297522736805349	0 12 102 168 180 190 192 228 232 268 270 280 292 358 448 460	-1355488882168
STPT(10)	2581297688590763027	0 2 30 32 72 74 114 116 144 146	-1189634924490
SPT(16)	2581298054108478217	0 10 22 36 42 60 130 172 174 216 286 304 310 324 336 346	-824117209300
SPT(16)	2581298493808831211	0 20 42 62 132 218 258 266 282 290 330 416 486 506 528 548	-384416856306
SPT(16)	2581298505955711657	0 34 40 66 84 96 174 220 240 286 364 376 394 420 426 460	-372269975860
SPT(13)	2581299784441869949	0 30 42 72 78 90 120 150 162 168 198 210 240	906216182432
SPT(16)	2581299884654465339	0 8 14 44 60 84 102 120 122 140 158 182 198 228 234 242	1006428777822
STPT(10)	2581300084535470547	0 2 30 32 42 44 54 56 84 86	1206309783030
SPT(16)	2581300307363666051	0 18 48 72 86 92 186 210 218 242 336 342 356 380 410 428	1429137978534
SPT(16)	2581300828307612363	0 14 80 86 108 140 150 194 210 254 264 296 318 324 390 404	1950081924846