Prime p₀= 2915099639062897997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2915098390831940567	0 2 36 56 116 170 204 206 210 212 246 300 360 380 414 416	-1248230957430
SPT(16)	2915099042850754391	0 32 86 90 146 158 168 176 282 290 300 312 368 372 426 458	-596212143606
SPT(16)	2915099168191099411	0 40 70 78 88 148 156 172 306 322 330 390 400 408 438 478	-470871798586
STPT(10)	2915099216582674481	0 2 6 8 48 50 90 92 96 98	-422480223516
STPT(10)	2915099469149292587	0 2 30 32 42 44 54 56 84 86	-169913605410
STPT(10)	2915099514454175507	0 2 30 32 42 44 54 56 84 86	-124608722490
STPT(10)	2915099687435151899	0 2 12 14 90 92 168 170 180 182	48372253902
SPT(16)	2915099688411697021	0 36 42 96 100 120 130 166 186 222 232 252 256 310 316 352	49348799024
STPT(10)	2915100305443990619	0 2 42 44 90 92 138 140 180 182	666381092622
SPT(16)	2915100592998948269	0 2 14 42 68 114 152 210 212 270 308 354 380 408 420 422	953936050272
TPT(14)	2915101007688769769	0 2 18 20 48 50 60 62 78 80 132 134 198 200	1368625871772