Prime p₀= 1268560852971250721 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: Megacruncher
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1268559620682460069	0 10 22 64 84 130 138 178 204 244 252 298 318 360 372 382	-1232288790652
SPT(16)	1268559637792336699	0 10 28 34 40 42 78 82 90 94 130 132 138 144 162 172	-1215178914022
STPT(10)	1268559894339804257	0 2 42 44 72 74 102 104 144 146	-958631446464
SPT(16)	1268560061357525609	0 8 30 54 110 134 170 210 212 252 288 312 368 392 414 422	-791613725112
SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	-690413495928
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	-222668211412
SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	289817254190
STPT(12)	1268561767131720989	0 2 12 14 30 32 72 74 90 92 102 104	914160470268
STPT(10)	1268562484143211247	0 2 12 14 42 44 72 74 84 86	1631171960526
SPT(16)	1268562542688574823	0 26 54 104 128 180 204 216 218 230 254 306 330 380 408 434	1689717324102
SPT(16)	1268562910192947847	0 30 66 90 102 136 150 162 184 196 210 244 256 280 316 346	2057221697126