Prime p₀= 2720815420391955167 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=12, 2 10 2 16 2 22

TPT(16)	2720814177195111089	0 2 42 44 72 74 78 80 108 110 120 122 138 140 162 164	-1243196844078
STPT(10)	2720814211349079689	0 2 18 20 30 32 42 44 60 62	-1209042875478
SPT(16)	2720814235138577527	0 36 42 46 52 70 96 126 256 286 312 330 336 340 346 382	-1185253377640
SPT(16)	2720814521301335117	0 14 36 50 92 102 126 140 156 170 194 204 246 260 282 296	-899090620050
SPT(16)	2720814796760628511	0 6 12 66 72 76 108 130 138 160 192 196 202 256 262 268	-623631326656
STPT(10)	2720815227384053711	0 2 6 8 18 20 30 32 36 38	-193007901456
STPT(10)	2720815966741808459	0 2 18 20 30 32 42 44 60 62	546349853292
STPT(10)	2720816224342936397	0 2 12 14 42 44 72 74 84 86	803950981230
SPT(16)	2720816356933525351	0 18 22 28 36 40 70 78 130 138 168 172 180 186 190 208	936541570184
SPT(16)	2720816404887656639	0 48 50 90 102 114 120 132 350 362 368 380 392 432 434 482	984495701472
STPT(10)	2720816424105643769	0 2 42 44 90 92 138 140 180 182	1003713688602