Prime p₀= 2503815509491551599 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: LCB001
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2503814315271415103	0 14 24 38 68 144 150 158 180 188 194 270 300 314 324 338	-1194220136496
STPT(10)	2503814534927279657	0 2 30 32 72 74 114 116 144 146	-974564271942
SPT(16)	2503815109820424289	0 42 82 102 112 114 138 172 180 214 238 240 250 270 310 352	-399671127310
TPT(14)	2503815134721481331	0 2 18 20 36 38 78 80 90 92 126 128 168 170	-374770070268
STPT(10)	2503815207736967147	0 2 72 74 102 104 132 134 204 206	-301754584452
STPT(10)	2503815319198063469	0 2 18 20 30 32 42 44 60 62	-190293488130
SPT(16)	2503815965194456897	0 52 102 106 144 166 196 222 244 270 300 322 360 364 414 466	455702905298
STPT(10)	2503816635504693317	0 2 30 32 42 44 54 56 84 86	1126013141718
SPT(16)	2503816935616949951	0 8 32 122 168 206 242 258 320 336 372 410 456 546 570 578	1426125398352
STPT(10)	2503817446495919381	0 2 36 38 78 80 120 122 156 158	1937004367782
SPT(16)	2503817670113905217	0 30 42 74 80 122 134 182 234 282 294 336 342 374 386 416	2160622353618