Prime p₀= 2568437286159788297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2568436118275475039	0 12 92 114 132 180 182 218 264 300 302 350 368 390 470 482	-1167884313258
SPT(16)	2568436123540124059	0 4 54 84 144 148 160 210 292 342 354 358 418 448 498 502	-1162619664238
SPT(16)	2568436268480523983	0 6 26 48 164 180 210 254 300 344 374 390 506 528 548 554	-1017679264314
SPT(16)	2568436556392317959	0 12 32 62 110 132 140 162 200 222 230 252 300 330 350 362	-729767470338
STPT(10)	2568436746462657989	0 2 78 80 120 122 162 164 240 242	-539697130308
SPT(16)	2568437063247612497	0 14 30 36 92 114 134 146 150 162 182 204 260 266 282 296	-222912175800
SPT(16)	2568437623955707261	0 42 46 60 72 136 156 190 192 226 246 310 322 336 340 382	337795918964
SPT(16)	2568437706706736833	0 48 90 106 204 238 244 316 348 420 426 460 558 574 616 664	420546948536
STPT(10)	2568437778216668357	0 2 24 26 42 44 60 62 84 86	492056880060
SPT(16)	2568437789609151359	0 18 30 48 78 92 98 128 144 174 180 194 224 242 254 272	503449363062
STPT(10)	2568437945778969947	0 2 12 14 72 74 132 134 144 146	659619181650