Prime p₀= 2499981088876295681 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: JayPi
db: batch=82, k=12, 2 16 2 40 2 34

STPT(10)	2499979605649310051	0 2 36 38 78 80 120 122 156 158	-1483226985630
SPT(16)	2499979918915844551	0 6 58 72 90 112 142 190 258 306 336 358 376 390 442 448	-1169960451130
STPT(10)	2499980077643204171	0 2 36 38 78 80 120 122 156 158	-1011233091510
STPT(10)	2499980474178503999	0 2 48 50 90 92 132 134 180 182	-614697791682
TPT(14)	2499980806902707267	0 2 12 14 60 62 84 86 150 152 234 236 270 272	-281973588414
TPT(14)	2499981068937199187	0 2 42 44 60 62 84 86 222 224 240 242 294 296	-19939096494
STPT(10)	2499981603198659381	0 2 6 8 48 50 90 92 96 98	514322363700
SPT(16)	2499981941788297691	0 48 60 98 116 158 162 182 216 236 240 282 300 338 350 398	852912002010
SPT(16)	2499982462831864739	0 18 60 78 110 144 158 170 192 204 218 252 284 302 344 362	1373955569058
STPT(10)	2499982974049007147	0 2 30 32 42 44 54 56 84 86	1885172711466
STPT(10)	2499983054764527107	0 2 12 14 42 44 72 74 84 86	1965888231426