Prime p₀= 2537566289441053859 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2537563956555502871	0 42 86 126 140 210 236 240 272 276 302 372 386 426 470 512	-2332885550988
SPT(16)	2537564343667004269	0 10 52 72 148 150 190 234 238 282 322 324 400 420 462 472	-1945774049590
SPT(16)	2537564362996016521	0 6 10 40 52 76 82 88 90 96 102 126 138 168 172 178	-1926445037338
SPT(16)	2537564493410718769	0 18 30 70 72 130 144 204 208 268 282 340 342 382 394 412	-1796030335090
STPT(10)	2537565644430282671	0 2 6 8 18 20 30 32 36 38	-645010771188
STPT(10)	2537566162866193001	0 2 6 8 48 50 90 92 96 98	-126574860858
SPT(16)	2537566378336124281	0 6 28 46 58 60 66 126 142 202 208 210 222 240 262 268	88895070422
SPT(16)	2537567018805414577	0 22 42 60 66 106 154 186 220 252 300 340 346 364 384 406	729364360718
SPT(16)	2537567049657164251	0 42 46 48 72 112 126 156 172 202 216 256 280 282 286 328	760216110392
SPT(16)	2537567205989871997	0 22 60 64 102 120 126 132 184 190 196 214 252 256 294 316	916548818138
STPT(10)	2537567340584668307	0 2 24 26 42 44 60 62 84 86	1051143614448