Prime p₀= 2814197009440699007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2814195556981356809	0 50 72 78 84 108 134 140 192 198 224 248 254 260 282 332	-1452459342198
STPT(10)	2814195739267750049	0 2 42 44 60 62 78 80 120 122	-1270172948958
STPT(10)	2814195896674574507	0 2 30 32 42 44 54 56 84 86	-1112766124500
TPT(14)	2814195911616234791	0 2 6 8 48 50 60 62 90 92 126 128 198 200	-1097824464216
SPT(16)	2814196093510818139	0 48 118 120 142 144 154 204 208 258 268 270 292 294 364 412	-915929880868
SPT(16)	2814196468633533019	0 24 64 78 112 192 214 238 264 288 310 390 424 438 478 502	-540807165988
SPT(16)	2814197107539877243	0 30 48 118 126 136 148 150 196 198 210 220 228 298 316 346	98099178236
STPT(10)	2814197153600857667	0 2 24 26 42 44 60 62 84 86	144160158660
STPT(10)	2814197281536877469	0 2 48 50 60 62 72 74 120 122	272096178462
SPT(16)	2814197796405794791	0 10 42 72 132 136 142 156 172 186 192 196 256 286 318 328	786965095784
STPT(10)	2814197852851416971	0 2 30 32 60 62 90 92 120 122	843410717964