Prime p₀= 2881021665075714689 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 4 2 22

STPT(10)	2881021053686904377	0 2 30 32 42 44 54 56 84 86	-611388810312
SPT(16)	2881021086426353341	0 142 148 196 228 246 262 280 318 336 352 370 402 450 456 598	-578649361348
SPT(16)	2881021135368658343	0 24 54 68 74 78 80 138 146 204 206 210 216 230 260 284	-529707056346
STPT(10)	2881021158771141479	0 2 42 44 60 62 78 80 120 122	-506304573210
SPT(16)	2881021227145985257	0 6 76 90 96 112 124 222 364 462 474 490 496 510 580 586	-437929729432
STPT(10)	2881021325759482187	0 2 60 62 72 74 84 86 144 146	-339316232502
SPT(16)	2881021699622507671	0 40 42 52 60 66 118 132 256 270 322 328 336 346 348 388	34546792982
STPT(10)	2881021806487757741	0 2 6 8 48 50 90 92 96 98	141412043052
STPT(10)	2881022246200062707	0 2 30 32 42 44 54 56 84 86	581124348018
STPT(10)	2881022670955506767	0 2 30 32 42 44 54 56 84 86	1005879792078
STPT(10)	2881022713113150797	0 2 42 44 72 74 102 104 144 146	1048037436108