Prime p₀= 1953952585243447771 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 6 12 34 56 18 12 22 12 18 56 34 12 6 30 (?)
a_n: 0 30 36 48 82 138 156 168 190 202 220 276 310 322 328 358
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: 358
Found by: Ben
db: batch=80, k=16, 30 6 12 34 56 18 12 22

SPT(16)	1953951294303645047	0 6 14 50 60 90 102 110 126 134 146 176 186 222 230 236	-1290939802724
TPT(14)	1953951707996825219	0 2 12 14 18 20 48 50 90 92 138 140 198 200	-877246622552
SPT(16)	1953951753238463399	0 12 18 32 38 42 78 80 222 224 260 264 270 284 290 302	-832004984372
SPT(16)	1953951952144849777	0 40 64 66 102 124 126 142 234 250 252 274 310 312 336 376	-633098597994
STPT(10)	1953952198019747447	0 2 30 32 42 44 54 56 84 86	-387223700324
SPT(16)	1953952494354115753	0 24 114 138 150 220 238 264 310 336 354 424 436 460 550 574	-90889332018
SPT(16)	1953952810401555421	0 6 28 76 82 100 108 120 238 250 258 276 282 330 352 358	225158107650
TPT(14)	1953954394774225901	0 2 36 38 66 68 126 128 210 212 336 338 390 392	1809530778130
STPT(10)	1953954405223610861	0 2 30 32 78 80 126 128 156 158	1819980163090
SPT(16)	1953954546472523689	0 24 42 54 64 70 72 90 142 160 162 168 178 190 208 232	1961229075918
SPT(16)	1953954603682349153	0 8 20 48 68 110 120 156 158 194 204 246 266 294 306 314	2018438901382