Prime p₀= 2013617149329926687 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2013615667560281677	0 22 36 84 102 114 144 162 274 292 322 334 352 400 414 436	-1481769645010
SPT(16)	2013615743503946861	0 30 38 68 80 90 108 126 212 230 248 258 270 300 308 338	-1405825979826
SPT(16)	2013615936670913189	0 24 42 90 104 128 138 200 222 284 294 318 332 380 398 422	-1212659013498
SPT(16)	2013615993870543683	0 8 24 96 168 174 230 236 258 264 320 326 398 470 486 494	-1155459383004
STPT(10)	2013616385583801527	0 2 12 14 42 44 72 74 84 86	-763746125160
SPT(16)	2013616898397454261	0 6 10 52 66 72 112 132 280 300 340 346 360 402 406 412	-250932472426
SPT(16)	2013617373598877539	0 30 34 42 94 108 124 132 160 168 184 198 250 258 262 292	224268950852
TPT(14)	2013617404255728251	0 2 66 68 156 158 168 170 456 458 516 518 528 530	254925801564
SPT(16)	2013617639223815221	0 48 108 130 132 150 156 190 198 232 238 256 258 280 340 388	489893888534
STPT(10)	2013617703792860981	0 2 6 8 48 50 90 92 96 98	554462934294
TPT(14)	2013617870553605507	0 2 162 164 204 206 252 254 270 272 300 302 330 332	721223678820