Prime p₀= 2991728529016087057 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 12 14 28 8 54 4 54 8 28 14 12 6 4 (?)
a_n: 0 4 10 22 36 64 72 126 130 184 192 220 234 246 252 256
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 256
Found by: Roadranner
db: batch=82, k=16, 4 6 12 14 28 8 54 4

STPT(10)	2991728005195232591	0 2 36 38 78 80 120 122 156 158	-523820854466
SPT(16)	2991728102947564597	0 4 12 16 24 60 82 96 100 114 136 172 180 184 192 196	-426068522460
STPT(10)	2991728114472591677	0 2 30 32 42 44 54 56 84 86	-414543495380
SPT(20)	2991728152790144561	0 6 56 66 128 140 176 216 260 278 318 336 380 420 456 468 530 540 590 596	-376225942496
SPT(16)	2991728217407519921	0 2 126 168 182 200 206 242 366 402 408 426 440 482 606 608	-311608567136
SPT(16)	2991728232881044801	0 28 42 72 78 82 100 138 172 210 228 232 238 268 282 310	-296135042256
SPT(16)	2991729256021492027	0 12 52 54 70 112 132 192 202 262 282 324 340 342 382 394	727005404970
STPT(10)	2991729719603183717	0 2 54 56 72 74 90 92 144 146	1190587096660
STPT(10)	2991730047160207037	0 2 24 26 42 44 60 62 84 86	1518144119980
STPT(10)	2991730205544677039	0 2 42 44 60 62 78 80 120 122	1676528589982
SPT(16)	2991730326753108539	0 2 8 32 42 48 62 128 132 198 212 218 228 252 258 260	1797737021482