Prime p₀= 2051682503664447191 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 126 128
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: 128
Found by: Landjunge
db: batch=80, k=12, 2 16 2 10 2 64

SPT(16)	2051680004675590607	0 30 126 140 152 182 194 230 246 282 294 324 336 350 446 476	-2498988856584
STPT(10)	2051680170708148031	0 2 6 8 18 20 30 32 36 38	-2332956299160
STPT(10)	2051681122097423021	0 2 6 8 18 20 30 32 36 38	-1381567024170
SPT(16)	2051681127183922057	0 4 6 36 42 52 70 76 180 186 204 214 220 250 252 256	-1376480525134
STPT(10)	2051681960935597181	0 2 36 38 78 80 120 122 156 158	-542728850010
SPT(16)	2051682200665527691	0 6 16 22 42 52 60 78 100 118 126 136 156 162 172 178	-302998919500
SPT(16)	2051683011055319693	0 18 44 50 60 108 188 198 260 270 350 398 408 414 440 458	507390872502
STPT(10)	2051683055111338667	0 2 12 14 72 74 132 134 144 146	551446891476
STPT(10)	2051683531450426931	0 2 36 38 78 80 120 122 156 158	1027785979740
SPT(16)	2051683629317234179	0 28 54 82 94 120 192 234 238 280 352 378 390 418 444 472	1125652786988
SPT(16)	2051683669842577129	0 22 78 144 160 172 184 198 244 258 270 282 298 364 420 442	1166178129938