Prime p₀= 956791088295627227 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	956790416315331709	0 24 40 94 102 108 112 130 132 150 154 160 168 222 238 262	-671980295518
STPT(10)	956790525546520517	0 2 30 32 72 74 114 116 144 146	-562749106710
SPT(16)	956790657798115739	0 54 74 110 144 188 212 224 228 240 264 308 342 378 398 452	-430497511488
SPT(16)	956790751317184423	0 6 40 48 66 76 136 190 264 318 378 388 406 414 448 454	-336978442804
SPT(16)	956790884840080397	0 60 84 120 150 174 216 246 254 284 326 350 380 416 440 500	-203455546830
SPT(16)	956790922316526013	0 28 70 84 90 106 138 178 276 316 348 364 370 384 426 454	-165979101214
SPT(16)	956791545714361921	0 18 76 88 106 130 148 156 172 180 198 222 240 252 310 328	457418734694
SPT(16)	956791603435495561	0 48 70 82 96 100 126 160 318 352 378 382 396 408 430 478	515139868334
STPT(10)	956791817605125989	0 2 12 14 90 92 168 170 180 182	729309498762
STPT(10)	956791949501318267	0 2 30 32 42 44 54 56 84 86	861205691040
STPT(10)	956792220496707167	0 2 24 26 42 44 60 62 84 86	1132201079940