Prime p₀= 2081727034618671017 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)	2081725135694641529	0 8 32 72 122 138 152 162 200 210 224 240 290 330 354 362	-1898924029488
STPT(10)	2081725173494786627	0 2 90 92 132 134 174 176 264 266	-1861123884390
TPT(14)	2081725464122742467	0 2 30 32 120 122 150 152 162 164 204 206 234 236	-1570495928550
SPT(16)	2081725771925525857	0 6 10 42 54 84 112 160 306 354 382 412 424 456 460 466	-1262693145160
SPT(16)	2081725774126550423	0 26 56 110 156 170 180 186 224 230 240 254 300 354 384 410	-1260492120594
SPT(16)	2081726116784678059	0 82 90 220 234 238 264 324 328 388 414 418 432 562 570 652	-917833992958
STPT(10)	2081727048143944637	0 2 42 44 72 74 102 104 144 146	13525273620
STPT(10)	2081727225240105809	0 2 42 44 60 62 78 80 120 122	190621434792
SPT(16)	2081727565984184977	0 24 42 46 52 84 112 124 132 144 172 204 210 214 232 256	531365513960
SPT(16)	2081727915781173337	0 34 40 42 52 66 82 96 130 144 160 174 184 186 192 226	881162502320
SPT(16)	2081728237520626049	0 12 42 104 168 194 200 218 234 252 258 284 348 410 440 452	1202901955032