Prime p₀= 2589592316402771857 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 36 14 36 12 16 2 22 2 16 12 36 14 36 16 (?)
a_n: 0 16 52 66 102 114 130 132 154 156 172 184 220 234 270 286
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: 286
Found by: JayPi
db: batch=82, k=16, 16 36 14 36 12 16 2 22

STPT(10)	2589591218959631387	0 2 54 56 72 74 90 92 144 146	-1097443140470
SPT(16)	2589591391415524579	0 10 52 88 90 114 130 132 220 222 238 262 264 300 342 352	-924987247278
SPT(16)	2589591512739627299	0 2 14 24 68 92 164 168 194 198 270 294 338 348 360 362	-803663144558
SPT(16)	2589591630653509847	0 84 110 120 134 144 150 180 206 236 242 252 266 276 302 386	-685749262010
SPT(16)	2589591740699288011	0 12 42 52 96 142 166 192 280 306 330 376 420 430 460 472	-575703483846
STPT(10)	2589591802401667487	0 2 54 56 72 74 90 92 144 146	-514001104370
STPT(10)	2589592527334312469	0 2 12 14 30 32 48 50 60 62	210931540612
STPT(10)	2589592736486533121	0 2 36 38 78 80 120 122 156 158	420083761264
SPT(18)	2589592970710397909	0 8 14 48 132 140 158 180 200 252 272 294 312 320 404 438 444 452	654307626052
SPT(16)	2589593285353788341	0 18 62 90 150 162 182 188 222 228 248 260 320 348 392 410	968951016484
TPT(14)	2589593895705635591	0 2 90 92 108 110 120 122 246 248 258 260 318 320	1579302863734