Prime p₀= 2680361305476467087 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

SPT(16)	2680359775753615411	0 46 58 60 120 136 178 228 280 330 372 388 448 450 462 508	-1529722851676
STPT(10)	2680359950997278519	0 2 12 14 30 32 48 50 60 62	-1354479188568
STPT(10)	2680360076827384277	0 2 60 62 72 74 84 86 144 146	-1228649082810
TPT(14)	2680360578665659469	0 2 30 32 60 62 72 74 108 110 138 140 222 224	-726810807618
STPT(10)	2680361175164220599	0 2 42 44 60 62 78 80 120 122	-130312246488
SPT(16)	2680361303818837109	0 20 42 60 84 158 162 212 330 380 384 458 482 500 522 542	-1657629978
SPT(16)	2680361541732794659	0 22 24 34 54 70 90 94 108 112 132 148 168 178 180 202	236256327572
STPT(10)	2680361587434324317	0 2 30 32 42 44 54 56 84 86	281957857230
TPT(14)	2680362277264622099	0 2 30 32 48 50 78 80 120 122 132 134 198 200	971788155012
STPT(10)	2680362367656389597	0 2 30 32 42 44 54 56 84 86	1062179922510
SPT(16)	2680362695951621531	0 26 78 120 126 146 152 156 242 246 252 272 278 320 372 398	1390475154444