Prime p₀= 2342354227976688721 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 78 18 22 2 4 116 4 2 22 18 78 6 6 (?)
a_n: 0 6 12 90 108 130 132 136 252 256 258 280 298 376 382 388
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: 388
Found by: Landjunge
db: batch=81, k=16, 6 6 78 18 22 2 4 116

SPT(16)	2342352641701938499	0 18 88 112 130 154 190 204 208 222 258 282 300 324 394 412	-1586274750222
SPT(16)	2342352706300007981	0 6 32 42 90 108 110 152 186 228 230 248 296 306 332 338	-1521676680740
STPT(10)	2342352710171731637	0 2 30 32 120 122 210 212 240 242	-1517804957084
STPT(10)	2342352855780601397	0 2 30 32 42 44 54 56 84 86	-1372196087324
SPT(16)	2342352941433766463	0 20 24 30 48 90 96 108 146 158 164 206 224 230 234 254	-1286542922258
TPT(14)	2342353219210743227	0 2 24 26 84 86 150 152 222 224 234 236 264 266	-1008765945494
STPT(10)	2342354363302860131	0 2 36 38 78 80 120 122 156 158	135326171410
SPT(16)	2342354712614067169	0 72 88 124 130 142 144 148 204 208 210 222 228 264 280 352	484637378448
SPT(16)	2342354918917583501	0 122 128 156 176 206 218 228 350 360 372 402 422 450 456 578	690940894780
STPT(10)	2342355451864942901	0 2 78 80 168 170 258 260 336 338	1223888254180
TPT(14)	2342355467673047327	0 2 54 56 72 74 90 92 132 134 144 146 180 182	1239696358606