Prime p₀= 2724751672915876823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 14 16 14 40 12 14 10 14 12 40 14 16 14 30 (?)
a_n: 0 30 44 60 74 114 126 140 150 164 176 216 230 246 260 290
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: 290
Found by: Roadranner
db: batch=82, k=16, 30 14 16 14 40 12 14 10

TPT(14)	2724750079963176257	0 2 24 26 150 152 180 182 234 236 264 266 282 284	-1592952700566
SPT(16)	2724750861555102307	0 42 54 64 82 90 100 120 166 186 196 204 222 232 244 286	-811360774516
STPT(10)	2724751119145149761	0 2 6 8 18 20 30 32 36 38	-553770727062
STPT(10)	2724751144207132289	0 2 18 20 30 32 42 44 60 62	-528708744534
STPT(10)	2724751483119506249	0 2 48 50 90 92 132 134 180 182	-189796370574
SPT(16)	2724751581386230343	0 6 24 56 68 78 110 126 188 204 236 246 258 290 308 314	-91529646480
STPT(10)	2724751855313424617	0 2 90 92 102 104 114 116 204 206	182397547794
SPT(16)	2724751889945651101	0 12 16 90 96 100 112 130 198 216 228 232 238 312 316 328	217029774278
STPT(10)	2724752094672789821	0 2 6 8 48 50 90 92 96 98	421756912998
SPT(16)	2724752424153021103	0 28 70 90 108 118 136 178 186 228 246 256 274 294 336 364	751237144280
SPT(16)	2724752861450661607	0 12 24 30 40 46 70 82 114 126 150 156 166 172 184 196	1188534784784