Prime p₀= 2727582603257170609 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 4 24 42 32 10 30 38 30 10 32 42 24 4 30 (?)
a_n: 0 30 34 58 100 132 142 172 210 240 250 282 324 348 352 382
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: 382
Found by: JayPi
db: batch=82, k=16, 30 4 24 42 32 10 30 38

STPT(10)	2727580572852848861	0 2 30 32 78 80 126 128 156 158	-2030404321748
SPT(16)	2727581326046111779	0 24 34 48 58 70 112 114 178 180 222 234 244 258 268 292	-1277211058830
SPT(16)	2727581456195462561	0 2 18 102 120 140 168 206 252 290 318 338 356 440 456 458	-1147061708048
TPT(14)	2727581649180472361	0 2 96 98 138 140 270 272 336 338 366 368 378 380	-954076698248
STPT(10)	2727582271228439627	0 2 30 32 72 74 114 116 144 146	-332028730982
SPT(16)	2727582416383750969	0 28 30 42 58 72 120 138 154 172 220 234 250 262 264 292	-186873419640
TPT(14)	2727582679862527217	0 2 12 14 24 26 132 134 162 164 174 176 234 236	76605356608
SPT(16)	2727583144195627789	0 58 112 114 120 154 162 172 180 190 198 232 238 240 294 352	540938457180
SPT(16)	2727583299464026889	0 2 84 90 158 174 212 252 260 300 338 354 422 428 510 512	696206856280
SPT(16)	2727583616273456141	0 60 66 80 138 152 158 180 188 210 216 230 288 302 308 368	1013016285532
STPT(10)	2727584257642159919	0 2 12 14 90 92 168 170 180 182	1654384989310