Prime p₀= 1270549260472385807 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: Megacruncher
db: batch=77, k=12, 2 10 2 46 2 22

SPT(16)	1270548386791643579	0 2 48 50 68 72 90 110 120 140 158 162 180 182 228 230	-873680742228
STPT(10)	1270548494418401837	0 2 60 62 72 74 84 86 144 146	-766053983970
STPT(10)	1270548593139304901	0 2 36 38 78 80 120 122 156 158	-667333080906
SPT(16)	1270548806534903299	0 22 42 120 172 180 238 280 312 354 412 420 472 550 570 592	-453937482508
STPT(10)	1270548940534986779	0 2 42 44 60 62 78 80 120 122	-319937399028
SPT(16)	1270548976375534981	0 48 66 82 178 186 192 208 270 286 292 300 396 412 430 478	-284096850826
STPT(10)	1270549589270795357	0 2 30 32 42 44 54 56 84 86	328798409550
STPT(10)	1270549841974270157	0 2 24 26 42 44 60 62 84 86	581501884350
SPT(16)	1270549932391683169	0 22 30 42 52 120 144 172 210 238 262 330 340 352 360 382	671919297362
STPT(10)	1270550160689668679	0 2 18 20 30 32 42 44 60 62	900217282872
STPT(10)	1270550380839861167	0 2 12 14 72 74 132 134 144 146	1120367475360