Prime p₀= 2570534369704135577 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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2570532961397978167	0 6 10 12 24 34 70 76 90 96 132 142 154 156 160 166	-1408306157410
SPT(16)	2570533061124741941	0 20 30 56 60 120 176 200 228 252 308 368 372 398 408 428	-1308579393636
SPT(16)	2570533187893641037	0 34 96 100 130 174 184 240 256 312 322 366 396 400 462 496	-1181810494540
SPT(16)	2570533478101178137	0 42 52 60 100 126 186 190 192 196 256 282 322 330 340 382	-891602957440
SPT(16)	2570534001678670499	0 20 44 54 72 128 174 180 332 338 384 440 458 468 492 512	-368025465078
STPT(10)	2570534129764305071	0 2 6 8 48 50 90 92 96 98	-239939830506
TPT(14)	2570534376439844039	0 2 78 80 120 122 162 164 168 170 192 194 198 200	6735708462
SPT(16)	2570534613293894549	0 30 74 78 84 98 122 152 210 240 264 278 284 288 332 362	243589758972
STPT(10)	2570534718275990027	0 2 42 44 72 74 102 104 144 146	348571854450
SPT(16)	2570534838022141553	0 44 68 80 84 90 98 110 168 180 188 194 198 210 234 278	468318005976
STPT(10)	2570535227675244131	0 2 30 32 120 122 210 212 240 242	857971108554