Prime p₀= 2514093366219245441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2514092577141727237	0 24 36 40 82 90 94 112 144 162 166 174 216 220 232 256	-789077518204
STPT(10)	2514092959213621991	0 2 6 8 18 20 30 32 36 38	-407005623450
SPT(16)	2514093010444432321	0 102 112 150 156 186 190 192 196 198 202 232 238 276 286 388	-355774813120
SPT(16)	2514093239535452021	0 38 110 116 126 132 140 168 170 198 206 212 222 228 300 338	-126683793420
SPT(16)	2514093264386262679	0 40 64 70 82 102 148 154 288 294 340 360 372 378 402 442	-101832982762
SPT(16)	2514093325274041999	0 10 60 88 180 210 262 264 328 330 382 412 504 532 582 592	-40945203442
STPT(10)	2514093719621653577	0 2 42 44 72 74 102 104 144 146	353402408136
STPT(10)	2514093746308079861	0 2 30 32 78 80 126 128 156 158	380088834420
TPT(14)	2514093749276462369	0 2 30 32 90 92 102 104 132 134 210 212 228 230	383057216928
STPT(10)	2514093865008388079	0 2 18 20 30 32 42 44 60 62	498789142638
STPT(10)	2514094192528611137	0 2 30 32 42 44 54 56 84 86	826309365696