Prime p₀= 2214519831749274617 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 46 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 120 122 150 152 192 194
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: 194
Found by: Penguin
db: batch=81, k=12, 2 40 2 28 2 46

STPT(10)	2214517162221848507	0 2 90 92 102 104 114 116 204 206	-2669527426110
SPT(16)	2214517279670334187	0 52 64 76 90 94 132 154 162 184 222 226 240 252 264 316	-2552078940430
STPT(10)	2214517837373064647	0 2 30 32 72 74 114 116 144 146	-1994376209970
SPT(16)	2214518168099227153	0 30 36 48 70 76 100 118 186 204 228 234 256 268 274 304	-1663650047464
STPT(10)	2214518322256036409	0 2 18 20 30 32 42 44 60 62	-1509493238208
STPT(10)	2214519086110393367	0 2 30 32 42 44 54 56 84 86	-745638881250
SPT(16)	2214520103391129439	0 22 42 64 72 78 114 142 180 208 244 250 258 280 300 322	271641854822
STPT(10)	2214520297204093337	0 2 30 32 42 44 54 56 84 86	465454818720
STPT(10)	2214520332262491089	0 2 48 50 90 92 132 134 180 182	500513216472
SPT(16)	2214520648958546359	0 28 40 72 114 148 162 168 184 190 204 238 280 312 324 352	817209271742
SPT(16)	2214520971983428993	0 36 76 96 124 150 180 234 250 304 334 360 388 408 448 484	1140234154376