Prime p₀= 2280580994890748609 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 136 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 180 182 210 212 222 224
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: 224
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 136

SPT(16)	2280579909915183649	0 34 42 70 94 100 112 154 180 222 234 240 264 292 300 334	-1084975564960
STPT(10)	2280580321830366761	0 2 6 8 18 20 30 32 36 38	-673060381848
STPT(10)	2280580862557027439	0 2 12 14 90 92 168 170 180 182	-132333721170
SPT(16)	2280580874380562489	0 2 38 60 72 80 102 140 222 260 282 290 302 324 360 362	-120510186120
STPT(10)	2280580935783940871	0 2 6 8 48 50 90 92 96 98	-59106807738
SPT(16)	2280580943381954233	0 34 70 94 118 138 154 184 234 264 280 300 324 348 384 418	-51508794376
SPT(16)	2280581257664895359	0 12 32 54 108 110 114 122 270 278 282 284 338 360 380 392	262774146750
SPT(16)	2280581498341257289	0 48 58 112 132 138 168 220 282 334 364 370 390 444 454 502	503450508680
STPT(10)	2280581812729289981	0 2 6 8 18 20 30 32 36 38	817838541372
SPT(16)	2280582078218031209	0 12 30 32 44 72 84 140 144 200 212 240 252 254 272 284	1083327282600
STPT(10)	2280582290899695017	0 2 42 44 72 74 102 104 144 146	1296008946408