Prime p₀= 1128434682092654323 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 48 36 30 4 32 60 16 62 16 60 32 4 30 36 48 (?)
a_n: 0 48 84 114 118 150 210 226 288 304 364 396 400 430 466 514
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: 514
Found by: stoneageman
db: batch=76, k=16, 48 36 30 4 32 60 16 62

SPT(16)	1128433151803179791	0 38 60 66 78 90 108 122 186 200 218 230 242 248 270 308	-1530289474532
STPT(10)	1128433403768658311	0 2 30 32 78 80 126 128 156 158	-1278323996012
STPT(10)	1128434066580961241	0 2 6 8 48 50 90 92 96 98	-615511693082
STPT(12)	1128434417475091457	0 2 12 14 42 44 120 122 150 152 162 164	-264617562866
SPT(16)	1128434478128373671	0 26 36 38 138 140 176 210 248 282 318 320 420 422 432 458	-203964280652
SPT(16)	1128434619598893829	0 18 34 40 82 88 132 180 202 250 294 300 342 348 364 382	-62493760494
STPT(10)	1128434794681534421	0 2 6 8 48 50 90 92 96 98	112588880098
STPT(10)	1128435133002473477	0 2 24 26 42 44 60 62 84 86	450909819154
STPT(10)	1128435352610569439	0 2 18 20 60 62 102 104 120 122	670517915116
SPT(16)	1128435408112431799	0 42 58 72 90 108 112 130 132 150 154 172 190 204 220 262	726019777476
SPT(16)	1128435436496857201	0 6 10 40 42 76 102 192 196 286 312 346 348 378 382 388	754404202878