Prime p₀= 2609816782224238577 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 40 2 40 2 4

STPT(10)	2609815808725955741	0 2 6 8 18 20 30 32 36 38	-973498282836
SPT(16)	2609815996780873369	0 48 52 90 108 112 178 222 280 324 390 394 412 450 454 502	-785443365208
SPT(16)	2609816338625150429	0 8 20 62 78 90 120 168 194 242 272 284 300 342 354 362	-443599088148
SPT(16)	2609816471944716847	0 36 40 94 112 124 130 184 192 246 252 264 282 336 340 376	-310279521730
STPT(10)	2609816561065798499	0 2 18 20 30 32 42 44 60 62	-221158440078
STPT(10)	2609816626001805557	0 2 30 32 42 44 54 56 84 86	-156222433020
SPT(16)	2609817191650055059	0 30 82 114 124 142 148 162 190 204 210 228 238 270 322 352	409425816482
STPT(10)	2609817559978980887	0 2 30 32 42 44 54 56 84 86	777754742310
SPT(16)	2609817571217135437	0 16 22 30 34 72 112 130 156 174 214 252 256 264 270 286	788992896860
STPT(10)	2609817617444785607	0 2 30 32 72 74 114 116 144 146	835220547030
SPT(16)	2609818055456020033	0 4 66 76 78 100 118 144 160 186 204 226 228 238 300 304	1273231781456