Prime p₀= 2497912811055696707 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 12 30 48 4 6 8 76 8 6 4 48 30 12 2 (?)
a_n: 0 2 14 44 92 96 102 110 186 194 200 204 252 282 294 296
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: 296
Found by: Penguin
db: batch=82, k=16, 2 12 30 48 4 6 8 76

SPT(16)	2497911928675271629	0 24 42 54 132 154 184 210 232 258 288 310 388 400 418 442	-882380425078
STPT(10)	2497912101421722257	0 2 24 26 42 44 60 62 84 86	-709633974450
TPT(14)	2497912325133783461	0 2 36 38 120 122 276 278 336 338 378 380 408 410	-485921913246
STPT(10)	2497912335709742879	0 2 12 14 90 92 168 170 180 182	-475345953828
SPT(16)	2497912473561675767	0 2 42 114 120 122 216 224 282 290 384 386 392 464 504 506	-337494020940
SPT(16)	2497912507623033181	0 18 22 28 42 70 72 88 90 106 108 136 150 156 160 178	-303432663526
SPT(16)	2497913040806484997	0 10 12 24 34 42 54 66 100 112 124 132 142 154 156 166	229750788290
STPT(10)	2497913175436604171	0 2 36 38 78 80 120 122 156 158	364380907464
SPT(16)	2497913593088088841	0 42 46 100 130 172 186 190 228 232 246 288 318 372 376 418	782032392134
STPT(10)	2497914126863018861	0 2 6 8 48 50 90 92 96 98	1315807322154
SPT(16)	2497914134534269651	0 16 48 58 96 118 160 180 226 246 288 310 348 358 390 406	1323478572944