Prime p₀= 2731520791023223037 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: JayPi
db: batch=82, k=12, 2 10 2 40 2 4

STPT(10)	2731517729181167609	0 2 48 50 90 92 132 134 180 182	-3061842055428
STPT(10)	2731518519695150369	0 2 30 32 60 62 90 92 120 122	-2271328072668
SPT(16)	2731518807223802339	0 14 18 32 72 90 98 102 170 174 182 200 240 254 258 272	-1983799420698
SPT(16)	2731519287294938417	0 30 104 120 144 182 210 254 270 314 342 380 404 420 494 524	-1503728284620
STPT(10)	2731520337880659737	0 2 24 26 42 44 60 62 84 86	-453142563300
SPT(16)	2731520738481349279	0 10 24 28 48 70 90 100 192 202 222 244 264 268 282 292	-52541873758
STPT(10)	2731520832985369427	0 2 30 32 72 74 114 116 144 146	41962146390
STPT(10)	2731521081800083997	0 2 54 56 72 74 90 92 144 146	290776860960
STPT(10)	2731521158148583637	0 2 42 44 72 74 102 104 144 146	367125360600
SPT(16)	2731521507369117371	0 12 20 38 56 98 150 188 270 308 360 402 420 438 446 458	716345894334
TPT(14)	2731521662042896181	0 2 18 20 30 32 90 92 96 98 198 200 336 338	871019673144