Prime p₀= 1657564672523900909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: ea1ghg
db: batch=79, k=10, 2 16 2 10 2

STPT(10)	1657561080249008507	0 2 24 26 42 44 60 62 84 86	-3592274892402
SPT(16)	1657561936882942793	0 6 8 36 48 50 80 84 230 234 264 266 278 306 308 314	-2735640958116
STPT(10)	1657562376691645811	0 2 30 32 78 80 126 128 156 158	-2295832255098
SPT(16)	1657563043739144023	0 34 40 70 138 154 180 208 210 238 264 280 348 378 384 418	-1628784756886
STPT(10)	1657563318630398981	0 2 6 8 48 50 90 92 96 98	-1353893501928
STPT(10)	1657563881954102951	0 2 6 8 48 50 90 92 96 98	-790569797958
SPT(16)	1657564979582114929	0 84 100 132 210 214 228 258 364 394 408 412 490 522 538 622	307058214020
SPT(16)	1657565231164052363	0 14 30 48 80 104 108 170 234 296 300 324 356 374 390 404	558640151454
TPT(14)	1657565311944443507	0 2 60 62 90 92 102 104 144 146 240 242 282 284	639420542598
SPT(16)	1657565703961585147	0 22 66 72 90 132 136 162 184 210 214 256 274 280 324 346	1031437684238
TPT(14)	1657565713432095737	0 2 30 32 132 134 240 242 252 254 270 272 312 314	1040908194828