Prime p₀= 2309112335617627231 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 12 6 6 14 46 20 4 20 46 14 6 6 12 28 (?)
a_n: 0 28 40 46 52 66 112 132 136 156 202 216 222 228 240 268
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: 268
Found by: WTBroughton
db: batch=81, k=16, 28 12 6 6 14 46 20 4

SPT(16)	2309112020161237219	0 12 48 54 70 82 88 144 238 294 300 312 328 334 370 382	-315456390012
STPT(10)	2309112065140381937	0 2 42 44 72 74 102 104 144 146	-270477245294
STPT(10)	2309112134039922149	0 2 30 32 120 122 210 212 240 242	-201577705082
SPT(16)	2309112137045775623	0 24 38 50 60 78 126 128 156 158 206 224 234 246 260 284	-198571851608
SPT(16)	2309112173953573991	0 6 8 18 62 120 122 132 176 186 188 246 290 300 302 308	-161664053240
SPT(16)	2309112335493830479	0 28 40 54 72 78 130 142 210 222 274 280 298 312 324 352	-123796752
STPT(10)	2309112433319333261	0 2 6 8 48 50 90 92 96 98	97701706030
STPT(10)	2309112456844700207	0 2 30 32 42 44 54 56 84 86	121227072976
SPT(16)	2309112526643123489	0 14 38 78 120 168 248 252 260 264 344 392 434 474 498 512	191025496258
SPT(16)	2309113126532708173	0 28 34 46 66 130 150 178 216 244 264 328 348 360 366 394	790915080942
TPT(14)	2309113754207693009	0 2 12 14 78 80 132 134 210 212 252 254 300 302	1418590065778