Prime p₀= 2068530599482752233 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 6 6 18 10 42 74 16 74 42 10 18 6 6 8 (?)
a_n: 0 8 14 20 38 48 90 164 180 254 296 306 324 330 336 344
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: 344
Found by: Cruncher Pete
db: batch=80, k=16, 8 6 6 18 10 42 74 16

SPT(16)	2068527819144966059	0 2 14 60 62 80 84 90 182 188 192 210 212 258 270 272	-2780337786174
STPT(10)	2068528022377376447	0 2 24 26 42 44 60 62 84 86	-2577105375786
STPT(10)	2068528317229385327	0 2 30 32 42 44 54 56 84 86	-2282253366906
SPT(16)	2068529872211050249	0 24 28 40 58 108 130 184 234 288 310 360 378 390 394 418	-727271701984
STPT(10)	2068530029877654491	0 2 30 32 78 80 126 128 156 158	-569605097742
SPT(16)	2068530079564465313	0 18 30 56 80 86 98 140 156 198 210 216 240 266 278 296	-519918286920
SPT(16)	2068530677563595881	0 12 100 168 198 208 270 312 346 388 450 460 490 558 646 658	78080843648
STPT(10)	2068530806546605277	0 2 30 32 60 62 90 92 120 122	207063853044
SPT(16)	2068530905189911249	0 10 24 42 70 72 114 118 174 178 220 222 250 268 282 292	305707159016
SPT(16)	2068531291311548269	0 22 34 42 48 70 154 162 250 258 342 364 370 378 390 412	691828796036
SPT(16)	2068531366468821493	0 4 18 54 88 96 130 196 198 264 298 306 340 376 390 394	766986069260