Prime p₀= 2353706130197961809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: suriv
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2353705199173461949	0 12 28 34 82 102 190 202 210 222 310 330 378 384 400 412	-931024499860
SPT(16)	2353705228013382989	0 54 102 144 158 174 180 218 264 302 308 324 338 380 428 482	-902184578820
STPT(10)	2353705310201471999	0 2 48 50 90 92 132 134 180 182	-819996489810
TPT(14)	2353705521951147437	0 2 132 134 192 194 204 206 234 236 294 296 300 302	-608246814372
SPT(16)	2353705760233679611	0 6 96 102 112 118 138 148 180 190 210 216 226 232 322 328	-369964282198
SPT(16)	2353705783311427189	0 24 84 108 112 120 154 178 294 318 352 360 364 388 448 472	-346886534620
SPT(13)	2353706177170501693	0 18 36 96 108 150 228 306 348 360 420 438 456	46972539884
SPT(16)	2353706193599643667	0 36 94 210 264 270 274 280 306 312 316 322 376 492 550 586	63401681858
SPT(16)	2353706370266531219	0 8 80 102 108 122 168 192 260 284 330 344 350 372 444 452	240068569410
SPT(16)	2353707136221777667	0 24 34 64 70 114 126 154 156 184 196 240 246 276 286 310	1006023815858
SPT(16)	2353707264955405483	0 18 46 60 70 76 78 108 148 178 180 186 196 210 238 256	1134757443674