Prime p₀= 2097502735817306957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2097502021060729253	0 24 68 104 144 150 158 164 210 216 224 230 270 306 350 374	-714756577704
SPT(16)	2097502048606265033	0 54 68 90 168 228 230 236 258 264 266 326 404 426 440 494	-687211041924
STPT(10)	2097502086344681837	0 2 60 62 72 74 84 86 144 146	-649472625120
SPT(16)	2097502264735928081	0 6 26 96 108 110 126 128 150 152 168 170 182 252 272 278	-471081378876
SPT(16)	2097502502990608711	0 40 82 106 142 160 180 240 292 352 372 390 426 450 492 532	-232826698246
STPT(10)	2097502586077447817	0 2 30 32 72 74 114 116 144 146	-149739859140
SPT(16)	2097502970744536279	0 18 28 60 78 84 184 228 280 324 424 430 448 480 490 508	234927229322
SPT(16)	2097503175895055729	0 20 72 80 84 128 150 164 258 272 294 338 342 350 402 422	440077748772
SPT(16)	2097503366150557681	0 46 60 78 120 150 166 172 246 252 268 298 340 358 372 418	630333250724
STPT(10)	2097503433534164861	0 2 6 8 18 20 30 32 36 38	697716857904
SPT(16)	2097503591474936609	0 18 38 60 68 138 158 182 198 222 242 312 320 342 362 380	855657629652