Prime p₀= 1273515738752779661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: HenkM
db: batch=77, k=10, 2 124 2 10 2

TPT(14)	1273514488235258219	0 2 12 14 18 20 30 32 150 152 210 212 252 254	-1250517521442
TPT(14)	1273514538390792161	0 2 90 92 120 122 126 128 156 158 258 260 270 272	-1200361987500
SPT(16)	1273514689434855739	0 48 102 120 144 154 190 198 214 222 258 268 292 310 364 412	-1049317923922
SPT(16)	1273514906965360159	0 18 24 28 42 118 144 148 174 178 204 280 294 298 304 322	-831787419502
SPT(16)	1273515152204136533	0 30 44 74 86 146 180 186 224 230 264 324 336 366 380 410	-586548643128
STPT(10)	1273515567220620011	0 2 36 38 78 80 120 122 156 158	-171532159650
STPT(10)	1273515743958350237	0 2 72 74 102 104 132 134 204 206	5205570576
STPT(10)	1273516023089116901	0 2 6 8 48 50 90 92 96 98	284336337240
SPT(13)	1273516332416016571	0 18 60 126 150 156 168 180 186 210 276 318 336	593663236910
STPT(12)	1273516434112720139	0 2 18 20 102 104 138 140 222 224 240 242	695359940478
STPT(10)	1273516892477080787	0 2 30 32 42 44 54 56 84 86	1153724301126