Prime p₀= 2579846267664311717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Vitalii Koshura
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2579843840463535487	0 2 84 86 132 134 204 206 252 254 312 314 330 332	-2427200776230
SPT(16)	2579844057753120043	0 4 18 34 58 78 84 100 144 160 166 186 210 226 240 244	-2209911191674
SPT(16)	2579845005004793633	0 8 38 56 98 108 126 156 260 290 308 318 360 378 408 416	-1262659518084
SPT(16)	2579845081614823339	0 78 88 108 114 120 148 234 238 324 352 358 364 384 394 472	-1186049488378
SPT(16)	2579845098607399397	0 14 20 24 36 60 62 104 222 264 266 290 302 306 312 326	-1169056912320
SPT(16)	2579845253493909421	0 18 30 40 42 60 102 118 180 196 238 256 258 268 280 298	-1014170402296
STPT(10)	2579846305720906889	0 2 18 20 30 32 42 44 60 62	38056595172
STPT(10)	2579846630952672797	0 2 42 44 72 74 102 104 144 146	363288361080
SPT(16)	2579846677670730029	0 74 78 80 128 162 228 240 302 314 380 414 462 464 468 542	410006418312
SPT(16)	2579846689065595661	0 26 60 108 126 132 138 182 186 230 236 242 260 308 342 368	421401283944
SPT(16)	2579846804101174457	0 36 50 72 84 92 122 126 170 174 204 212 224 246 260 296	536436862740