Prime p₀= 2576807120853987289 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 2 12 6 16 26 12 28 12 26 16 6 12 2 28 (?)
a_n: 0 28 30 42 48 64 90 102 130 142 168 184 190 202 204 232
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: 232
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 28 2 12 6 16 26 12 28

SPT(16)	2576805090977124101	0 6 20 122 150 152 156 206 222 272 276 278 306 408 422 428	-2029876863188
SPT(16)	2576805182783206387	0 6 22 90 202 216 280 294 322 336 400 414 526 594 610 616	-1938070780902
SPT(16)	2576805945574337483	0 30 74 108 144 168 188 248 276 336 356 380 416 450 494 524	-1175279649806
SPT(16)	2576806080612553061	0 20 30 56 86 90 96 132 230 266 272 276 306 332 342 362	-1040241434228
SPT(16)	2576806159162965683	0 24 38 84 90 116 150 254 330 434 468 494 500 546 560 584	-961691021606
STPT(10)	2576806731070782011	0 2 6 8 48 50 90 92 96 98	-389783205278
SPT(16)	2576807547683016173	0 18 56 78 144 164 180 198 206 224 240 260 326 348 386 404	426829028884
TPT(14)	2576807755048298687	0 2 42 44 84 86 144 146 180 182 210 212 282 284	634194311398
STPT(12)	2576807804351933939	0 2 12 14 42 44 48 50 78 80 90 92	683497946650
SPT(16)	2576808168907019057	0 6 14 20 26 36 50 86 180 216 230 240 246 252 260 266	1048053031768
STPT(10)	2576808254264944727	0 2 30 32 42 44 54 56 84 86	1133410957438