Prime p₀= 2724753599611970869 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 14 4 20 22 50 142 50 22 20 4 14 6 4 (?)
a_n: 0 4 10 24 28 48 70 120 262 312 334 354 358 372 378 382
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: Roadranner
db: batch=82, k=16, 4 6 14 4 20 22 50 142

SPT(16)	2724751889945651101	0 12 16 90 96 100 112 130 198 216 228 232 238 312 316 328	-1709666319768
STPT(10)	2724752094672789821	0 2 6 8 48 50 90 92 96 98	-1504939181048
SPT(16)	2724752424153021103	0 28 70 90 108 118 136 178 186 228 246 256 274 294 336 364	-1175458949766
SPT(16)	2724752861450661607	0 12 24 30 40 46 70 82 114 126 150 156 166 172 184 196	-738161309262
STPT(10)	2724753278833488347	0 2 12 14 132 134 252 254 264 266	-320778482522
SPT(16)	2724753517105440881	0 2 20 26 42 60 156 180 188 212 308 326 342 348 366 368	-82506529988
STPT(10)	2724754694175411377	0 2 30 32 42 44 54 56 84 86	1094563440508
SPT(16)	2724754804706556859	0 34 54 70 84 102 154 168 184 198 250 268 282 298 318 352	1205094585990
SPT(16)	2724754835194512829	0 60 64 78 100 120 184 234 238 288 352 372 394 408 412 472	1235582541960
STPT(10)	2724755116463492009	0 2 18 20 30 32 42 44 60 62	1516851521140
STPT(10)	2724755357462679521	0 2 36 38 78 80 120 122 156 158	1757850708652