Prime p₀= 2159706756152600927 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2159706086398850447	0 2 54 56 120 122 150 152 204 206 360 362 402 404	-669753750480
STPT(10)	2159706197798622827	0 2 12 14 72 74 132 134 144 146	-558353978100
SPT(16)	2159706214308395839	0 28 34 48 94 120 150 232 240 322 352 378 424 438 444 472	-541844205088
SPT(16)	2159706279939505811	0 56 78 90 120 122 140 156 272 288 306 308 338 350 372 428	-476213095116
TPT(14)	2159706341474570657	0 2 30 32 60 62 84 86 150 152 240 242 312 314	-414678030270
STPT(10)	2159706543161788631	0 2 48 50 108 110 168 170 216 218	-212990812296
SPT(16)	2159707020837995857	0 16 42 60 70 106 112 120 166 174 180 216 226 244 270 286	264685394930
SPT(16)	2159707582965404387	0 56 104 132 164 186 192 224 282 314 320 342 374 402 450 506	826812803460
SPT(16)	2159708102454893989	0 34 40 48 64 102 154 160 342 348 400 438 454 462 468 502	1346302293062
SPT(16)	2159708794985796053	0 44 84 86 90 114 164 174 206 216 266 290 294 296 336 380	2038833195126
STPT(12)	2159709665191867289	0 2 18 20 42 44 48 50 72 74 90 92	2909039266362