Prime p₀= 2044100976008976893 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 82 6 170 6 18 10 8 10 18 6 170 6 82 26 (?)
a_n: 0 26 108 114 284 290 308 318 326 336 354 360 530 536 618 644
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: 644
Found by: MarkRBright
db: batch=80, k=16, 26 82 6 170 6 18 10 8

SPT(16)	2044100510258470561	0 6 22 78 100 118 162 172 216 226 270 288 310 366 382 388	-465750506332
STPT(10)	2044100528486197799	0 2 48 50 60 62 72 74 120 122	-447522779094
SPT(16)	2044100555774120867	0 50 56 62 74 90 92 132 134 174 176 192 204 210 216 266	-420234856026
SPT(16)	2044100622313629589	0 28 48 58 64 78 90 100 168 178 190 204 210 220 240 268	-353695347304
SPT(16)	2044100807097535079	0 54 78 80 90 134 164 174 194 204 234 278 288 290 314 368	-168911441814
STPT(10)	2044100958938224727	0 2 72 74 102 104 132 134 204 206	-17070752166
STPT(10)	2044101020387633237	0 2 30 32 60 62 90 92 120 122	44378656344
SPT(16)	2044101354661153171	0 30 46 70 72 82 126 132 220 226 270 280 282 306 322 352	378652176278
SPT(16)	2044101459477746881	0 6 16 46 60 78 148 160 186 198 268 286 300 330 340 346	483468769988
STPT(10)	2044101947613434867	0 2 12 14 72 74 132 134 144 146	971604457974
STPT(10)	2044102800607730207	0 2 42 44 72 74 102 104 144 146	1824598753314