Prime p₀= 2708843934599808251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: Coleslaw
db: batch=82, k=10, 2 76 2 58 2

STPT(10)	2708841182733237449	0 2 78 80 120 122 162 164 240 242	-2751866570802
SPT(16)	2708841316792302149	0 20 24 30 54 108 132 134 168 170 194 248 272 278 282 302	-2617807506102
SPT(16)	2708841446871671879	0 14 32 42 50 80 102 132 152 182 204 234 242 252 270 284	-2487728136372
SPT(16)	2708842310624863739	0 14 44 62 78 102 182 212 270 300 380 404 420 438 468 482	-1623974944512
STPT(10)	2708843534094041711	0 2 6 8 48 50 90 92 96 98	-400505766540
STPT(10)	2708843810377088471	0 2 6 8 48 50 90 92 96 98	-124222719780
TPT(14)	2708844440826807761	0 2 60 62 156 158 168 170 186 188 216 218 228 230	506226999510
SPT(16)	2708844980916271663	0 4 34 48 118 156 166 168 256 258 268 306 376 390 420 424	1046316463412
TPT(14)	2708845498163330387	0 2 12 14 30 32 54 56 114 116 120 122 234 236	1563563522136
STPT(10)	2708845584849452681	0 2 6 8 48 50 90 92 96 98	1650249644430
SPT(16)	2708845658856330683	0 6 44 74 84 86 134 138 176 180 228 230 240 270 308 314	1724256522432