Prime p₀= 2819134337329473587 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: [SG-FC] hl
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2819131572107174173	0 40 70 108 174 198 204 220 264 280 286 310 376 414 444 484	-2765222299414
STPT(10)	2819131970142556097	0 2 12 14 42 44 72 74 84 86	-2367186917490
SPT(16)	2819132104225105399	0 48 70 78 84 100 154 162 190 198 252 268 274 282 304 352	-2233104368188
STPT(10)	2819132379989162021	0 2 36 38 78 80 120 122 156 158	-1957340311566
SPT(16)	2819132417015732893	0 10 18 40 108 124 138 144 160 166 180 196 264 286 294 304	-1920313740694
STPT(10)	2819133488949658997	0 2 30 32 42 44 54 56 84 86	-848379814590
TPT(14)	2819134337329473587	0 2 12 14 30 32 54 56 72 74 84 86 90 92	0
SPT(16)	2819135004028796969	0 8 20 38 42 50 62 104 138 180 192 200 204 222 234 242	666699323382
SPT(16)	2819135027115411881	0 2 38 62 90 182 186 218 240 272 276 368 396 420 456 458	689785938294
SPT(16)	2819135544036440159	0 24 42 60 62 68 84 98 114 128 144 150 152 170 188 212	1206706966572
SPT(16)	2819136032327247779	0 12 14 18 42 48 90 164 168 242 284 290 314 318 320 332	1694997774192