Prime p₀= 2309957129802405793 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 60 10 2 6 24 16 26 16 24 6 2 10 60 6 (?)
a_n: 0 6 66 76 78 84 108 124 150 166 190 196 198 208 268 274
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: 274
Found by: FritzB
db: batch=81, k=16, 6 60 10 2 6 24 16 26

SPT(16)	2309955247383356821	0 10 28 42 78 138 160 162 208 210 232 292 328 342 360 370	-1882419048972
STPT(10)	2309955453528909881	0 2 30 32 60 62 90 92 120 122	-1676273495912
STPT(10)	2309955543868816841	0 2 6 8 48 50 90 92 96 98	-1585933588952
SPT(16)	2309955682384380139	0 40 48 54 84 90 120 130 162 172 202 208 238 244 252 292	-1447418025654
STPT(10)	2309956925462576417	0 2 30 32 42 44 54 56 84 86	-204339829376
STPT(10)	2309956967847128021	0 2 36 38 78 80 120 122 156 158	-161955277772
STPT(12)	2309957325954755537	0 2 12 14 54 56 90 92 132 134 144 146	196152349744
SPT(16)	2309958382941644881	0 10 42 90 108 120 196 232 306 342 418 430 448 496 528 538	1253139239088
SPT(16)	2309958541815720811	0 16 22 42 52 70 88 100 108 120 138 156 166 186 192 208	1412013315018
SPT(16)	2309959029768922633	0 106 136 138 154 156 168 180 334 346 358 360 376 378 408 514	1899966516840
SPT(16)	2309959302675874921	0 12 16 42 108 142 168 178 450 460 486 520 586 612 616 628	2172873469128