Prime p₀= 2391657723407368303 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 38 126 18 12 70 14 70 12 18 126 38 12 34 (?)
a_n: 0 34 46 84 210 228 240 310 324 394 406 424 550 588 600 634
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: 634
Found by: Landjunge
db: batch=81, k=16, 34 12 38 126 18 12 70 14

STPT(10)	2391656223074505389	0 2 30 32 60 62 90 92 120 122	-1500332862914
SPT(16)	2391656243103298429	0 10 30 34 70 88 114 154 174 214 240 258 294 298 318 328	-1480304069874
STPT(10)	2391656715218513087	0 2 42 44 72 74 102 104 144 146	-1008188855216
SPT(16)	2391656844834458137	0 10 40 132 150 202 210 214 342 346 354 406 424 516 546 556	-878572910166
SPT(16)	2391657095259984037	0 10 22 30 40 180 184 232 252 300 304 444 454 462 474 484	-628147384266
SPT(16)	2391657151358943241	0 28 48 72 82 186 232 268 270 306 352 456 466 490 510 538	-572048425062
STPT(10)	2391658279467164759	0 2 42 44 60 62 78 80 120 122	556059796456
SPT(16)	2391658546382486833	0 4 34 60 70 124 130 144 154 168 174 228 238 264 294 298	822975118530
SPT(16)	2391658998556850807	0 12 14 26 92 102 114 162 284 332 344 354 420 432 434 446	1275149482504
STPT(10)	2391659085665752751	0 2 36 38 78 80 120 122 156 158	1362258384448
SPT(16)	2391659490872627611	0 6 12 18 52 96 102 126 142 166 172 216 250 256 262 268	1767465259308