Prime p₀= 3006567661880212817 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 10 18 6 36 14 30 16 30 14 36 6 18 10 56 (?)
a_n: 0 56 66 84 90 126 140 170 186 216 230 266 272 290 300 356
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: 356
Found by: arkiss
db: batch=82, k=16, 56 10 18 6 36 14 30 16

SPT(16)	3006566464771854991	0 10 30 48 58 88 108 132 238 262 282 312 322 340 360 370	-1197108357826
TPT(14)	3006566903570375681	0 2 18 20 30 32 96 98 156 158 180 182 186 188	-758309837136
SPT(16)	3006567048038619731	0 8 12 30 42 108 110 198 290 378 380 446 458 476 480 488	-613841593086
STPT(10)	3006567054822899507	0 2 30 32 60 62 90 92 120 122	-607057313310
TPT(14)	3006567368140352801	0 2 78 80 96 98 120 122 156 158 198 200 306 308	-293739860016
SPT(16)	3006567591716712787	0 12 66 82 136 180 190 210 232 252 262 306 360 376 430 442	-70163500030
STPT(10)	3006568115971239497	0 2 12 14 42 44 72 74 84 86	454091026680
STPT(10)	3006568614486122501	0 2 6 8 48 50 90 92 96 98	952605909684
SPT(16)	3006568763433225047	0 26 72 92 96 110 116 140 156 180 186 200 204 224 270 296	1101553012230
TPT(16)	3006568768094194421	0 2 30 32 108 110 126 128 156 158 186 188 198 200 318 320	1106213981604
SPT(16)	3006569246043409471	0 46 52 148 150 162 172 222 286 336 346 358 360 456 462 508	1584163196654