Prime p₀= 2568536112487483319 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

TPT(14)	2568534545226597719	0 2 30 32 78 80 90 92 210 212 228 230 300 302	-1567260885600
SPT(16)	2568534699654132551	0 6 80 90 146 156 198 222 266 290 332 342 398 408 482 488	-1412833350768
STPT(10)	2568534777844597139	0 2 42 44 90 92 138 140 180 182	-1334642886180
SPT(16)	2568535370827062691	0 6 18 42 46 52 66 70 108 112 126 132 136 160 172 178	-741660420628
SPT(16)	2568535474261493501	0 32 50 56 62 78 98 102 116 120 140 156 162 168 186 218	-638225989818
SPT(16)	2568535942030134203	0 8 26 56 66 134 144 150 254 260 270 338 348 378 396 404	-170457349116
SPT(13)	2568536154672854167	0 6 72 90 96 120 126 132 156 162 180 246 252	42185370848
SPT(16)	2568536760640576207	0 10 60 102 124 160 180 192 202 214 234 270 292 334 384 394	648153092888
STPT(10)	2568536801360756921	0 2 30 32 60 62 90 92 120 122	688873273602
SPT(16)	2568536823964241447	0 36 74 84 104 132 162 176 210 224 254 282 302 312 350 386	711476758128
SPT(16)	2568536827130831647	0 52 54 60 70 114 172 180 184 192 250 294 304 310 312 364	714643348328