Prime p₀= 2329142617514930207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2329141292999421673	0 34 54 90 106 120 126 168 196 238 244 258 274 310 330 364	-1324515508534
TPT(14)	2329141859147441411	0 2 6 8 66 68 300 302 306 308 336 338 348 350	-758367488796
TPT(14)	2329141940000798939	0 2 30 32 42 44 228 230 240 242 252 254 258 260	-677514131268
STPT(10)	2329141942833189269	0 2 30 32 60 62 90 92 120 122	-674681740938
SPT(16)	2329142085337251529	0 28 42 48 78 90 118 130 192 204 232 244 274 280 294 322	-532177678678
SPT(16)	2329142308948801909	0 34 40 82 132 138 192 244 258 310 364 370 420 462 468 502	-308566128298
STPT(10)	2329143518881213589	0 2 42 44 60 62 78 80 120 122	901366283382
STPT(10)	2329143637596898007	0 2 54 56 72 74 90 92 144 146	1020081967800
SPT(16)	2329143710497783007	0 14 20 54 56 66 72 80 306 314 320 330 332 366 372 386	1092982852800
SPT(16)	2329143827363955419	0 12 20 72 90 98 164 174 188 198 264 272 290 342 350 362	1209849025212
SPT(16)	2329144289183293579	0 18 30 84 112 132 154 214 228 288 310 330 358 412 424 442	1671668363372