Prime p₀= 1056687750951616517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: =Lupus=
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1056686414728799849	0 30 60 74 108 134 150 158 210 218 234 260 294 308 338 368	-1336222816668
STPT(10)	1056686900319231029	0 2 30 32 60 62 90 92 120 122	-850632385488
STPT(10)	1056687356764218539	0 2 42 44 90 92 138 140 180 182	-394187397978
TPT(14)	1056687523065344867	0 2 12 14 30 32 72 74 102 104 144 146 210 212	-227886271650
SPT(16)	1056687575588466893	0 8 14 26 56 120 126 144 260 278 284 348 378 390 396 404	-175363149624
TPT(14)	1056687597197661971	0 2 66 68 126 128 150 152 168 170 180 182 330 332	-153753954546
SPT(16)	1056688288922348473	0 48 76 96 130 150 196 228 286 318 364 384 418 438 466 514	537970731956
SPT(16)	1056688295334649807	0 22 40 82 120 144 154 162 172 180 190 214 252 294 312 334	544383033290
STPT(10)	1056688551834708209	0 2 18 20 30 32 42 44 60 62	800883091692
SPT(16)	1056688580242816861	0 22 36 48 60 90 130 138 190 198 238 268 280 292 306 328	829291200344
SPT(16)	1056688771203097957	0 30 36 42 52 64 72 112 144 184 192 204 214 220 226 256	1020251481440