Prime p₀= 2316495503743017593 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 30 30 18 54 2 10 14 10 2 54 18 30 30 6 (?)
a_n: 0 6 36 66 84 138 140 150 164 174 176 230 248 278 308 314
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: 314
Found by: Landjunge
db: batch=81, k=16, 6 30 30 18 54 2 10 14

SPT(16)	2316493718826558241	0 22 46 66 90 112 130 150 172 192 210 232 256 276 300 322	-1784916459352
STPT(10)	2316493781481517637	0 2 24 26 42 44 60 62 84 86	-1722261499956
STPT(10)	2316494693496062879	0 2 48 50 60 62 72 74 120 122	-810246954714
SPT(16)	2316495005144558351	0 60 78 80 98 110 150 152 168 170 210 222 240 242 260 320	-498598459242
STPT(10)	2316495372264052979	0 2 18 20 30 32 42 44 60 62	-131478964614
STPT(10)	2316495384312155729	0 2 42 44 90 92 138 140 180 182	-119430861864
STPT(10)	2316495566421407981	0 2 30 32 78 80 126 128 156 158	62678390388
TPT(14)	2316495824636053547	0 2 60 62 90 92 222 224 282 284 300 302 312 314	320893035954
SPT(16)	2316495914028162899	0 32 42 50 74 92 120 152 162 194 222 240 264 272 282 314	410285145306
SPT(16)	2316496151926129181	0 66 72 126 150 162 182 218 240 276 296 308 332 386 392 458	648183111588
TPT(14)	2316496160929276871	0 2 108 110 150 152 186 188 210 212 306 308 336 338	657186259278