Prime p₀= 2054286252806643377 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: Orange Kid
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2054285548654851053	0 20 86 90 150 164 188 224 240 276 300 314 374 378 444 464	-704151792324
SPT(16)	2054285681839528469	0 8 38 44 48 120 338 348 374 384 602 674 678 684 714 722	-570967114908
STPT(10)	2054285855596097897	0 2 42 44 72 74 102 104 144 146	-397210545480
STPT(10)	2054286076100751527	0 2 60 62 72 74 84 86 144 146	-176705891850
SPT(16)	2054286113404609211	0 26 50 66 92 102 110 138 140 168 176 186 212 228 252 278	-139402034166
SPT(16)	2054286237535403789	0 12 14 84 92 102 114 120 134 140 152 162 170 240 242 254	-15271239588
SPT(16)	2054286462994244123	0 14 54 68 78 120 144 164 264 284 308 350 360 374 414 428	210187600746
STPT(10)	2054286535454671499	0 2 42 44 60 62 78 80 120 122	282648028122
SPT(16)	2054286677382088997	0 14 66 126 134 176 204 206 210 212 240 282 290 350 402 416	424575445620
SPT(16)	2054286787610503427	0 20 56 72 114 122 156 164 192 200 234 242 284 300 336 356	534803860050
SPT(16)	2054287200458893151	0 6 8 36 56 86 110 152 156 198 222 252 272 300 302 308	947652249774