Prime p₀= 2309958382941644881 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 32 48 18 12 76 36 74 36 76 12 18 48 32 10 (?)
a_n: 0 10 42 90 108 120 196 232 306 342 418 430 448 496 528 538
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: 538
Found by: FritzB
db: batch=81, k=16, 10 32 48 18 12 76 36 74

STPT(10)	2309955543868816841	0 2 6 8 48 50 90 92 96 98	-2839072828040
SPT(16)	2309955682384380139	0 40 48 54 84 90 120 130 162 172 202 208 238 244 252 292	-2700557264742
STPT(10)	2309956925462576417	0 2 30 32 42 44 54 56 84 86	-1457479068464
STPT(10)	2309956967847128021	0 2 36 38 78 80 120 122 156 158	-1415094516860
SPT(16)	2309957129802405793	0 6 66 76 78 84 108 124 150 166 190 196 198 208 268 274	-1253139239088
STPT(12)	2309957325954755537	0 2 12 14 54 56 90 92 132 134 144 146	-1056986889344
SPT(16)	2309958541815720811	0 16 22 42 52 70 88 100 108 120 138 156 166 186 192 208	158874075930
SPT(16)	2309959029768922633	0 106 136 138 154 156 168 180 334 346 358 360 376 378 408 514	646827277752
SPT(16)	2309959302675874921	0 12 16 42 108 142 168 178 450 460 486 520 586 612 616 628	919734230040
STPT(10)	2309959528737250301	0 2 6 8 18 20 30 32 36 38	1145795605420
STPT(10)	2309959610525501687	0 2 30 32 42 44 54 56 84 86	1227583856806