Prime p₀= 2199271386414038141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2199270243496803151	0 12 28 72 78 96 156 168 220 232 292 310 316 360 376 388	-1142917234990
STPT(10)	2199270564422363429	0 2 48 50 90 92 132 134 180 182	-821991674712
SPT(16)	2199270588017344949	0 44 50 90 104 170 228 252 260 284 342 408 422 462 468 512	-798396693192
SPT(16)	2199270776124712331	0 12 32 42 48 72 140 150 230 240 308 332 338 348 368 380	-610289325810
STPT(10)	2199271050325780307	0 2 30 32 60 62 90 92 120 122	-336088257834
STPT(10)	2199271069391077907	0 2 30 32 42 44 54 56 84 86	-317022960234
SPT(16)	2199271529905291001	0 2 26 30 56 68 128 132 146 150 210 222 248 252 276 278	143491252860
STPT(10)	2199271759785962357	0 2 12 14 42 44 72 74 84 86	373371924216
SPT(16)	2199271950797123071	0 42 78 88 90 102 108 132 148 172 178 190 192 202 238 280	564383084930
STPT(10)	2199272233813015181	0 2 6 8 18 20 30 32 36 38	847398977040
SPT(16)	2199272286942497981	0 30 36 62 78 86 128 146 162 180 222 230 246 272 278 308	900528459840