Prime p₀= 2048627081210356259 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2048626333702396499	0 2 42 44 60 62 78 80 120 122	-747507959760
STPT(10)	2048626516122329567	0 2 30 32 72 74 114 116 144 146	-565088026692
SPT(16)	2048626669114970171	0 30 80 86 90 108 132 146 192 206 230 248 252 258 308 338	-412095386088
SPT(16)	2048626759303301291	0 2 8 48 78 86 108 116 132 140 162 170 200 240 246 248	-321907054968
SPT(16)	2048626862283636773	0 8 24 54 74 78 116 140 144 168 206 210 230 260 276 284	-218926719486
TPT(14)	2048626992115574279	0 2 78 80 132 134 162 164 192 194 390 392 402 404	-89094781980
STPT(10)	2048627294869627697	0 2 30 32 42 44 54 56 84 86	213659271438
STPT(10)	2048627392459972991	0 2 6 8 18 20 30 32 36 38	311249616732
STPT(10)	2048627611205722271	0 2 6 8 48 50 90 92 96 98	529995366012
STPT(10)	2048627626953201167	0 2 30 32 42 44 54 56 84 86	545742844908
SPT(16)	2048627638520979323	0 20 44 78 98 120 146 170 294 318 344 366 386 420 444 464	557310623064