Prime p₀= 2397304604230113211 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 34 20 16 12 102 48 20 48 102 12 16 20 34 6 (?)
a_n: 0 6 40 60 76 88 190 238 258 306 408 420 436 456 490 496
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: 496
Found by: JonS
db: batch=81, k=16, 6 34 20 16 12 102 48 20

SPT(16)	2397303551130803633	0 8 44 50 54 80 84 110 138 164 168 194 198 204 240 248	-1053099309578
STPT(10)	2397303591477941747	0 2 42 44 72 74 102 104 144 146	-1012752171464
STPT(10)	2397304141826842529	0 2 72 74 180 182 288 290 360 362	-462403270682
STPT(10)	2397304202406509321	0 2 30 32 78 80 126 128 156 158	-401823603890
TPT(14)	2397304560524088911	0 2 48 50 126 128 168 170 180 182 216 218 306 308	-43706024300
TPT(14)	2397304582902998729	0 2 132 134 162 164 210 212 288 290 420 422 492 494	-21327114482
SPT(16)	2397304707342097391	0 48 60 72 132 146 158 170 198 210 222 236 296 308 320 368	103111984180
SPT(16)	2397304758591791483	0 26 50 68 110 128 134 156 308 330 336 354 396 414 438 464	154361678272
SPT(16)	2397304959171584419	0 12 18 34 40 42 88 118 144 174 220 222 228 244 250 262	354941471208
TPT(14)	2397305550130055417	0 2 12 14 54 56 282 284 360 362 492 494 534 536	945899942206
SPT(16)	2397305879591089289	0 18 32 72 78 84 102 138 284 320 338 344 350 390 404 422	1275360976078