Prime p₀= 3030397365781497557 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: Conan
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	3030395015218580921	0 2 6 8 18 20 30 32 36 38	-2350562916636
SPT(16)	3030395032950897461	0 12 26 72 108 150 168 180 278 290 308 350 386 432 446 458	-2332830600096
SPT(16)	3030395766319648127	0 20 24 36 66 90 104 120 146 162 176 200 230 242 246 266	-1599461849430
STPT(10)	3030396226329595559	0 2 18 20 60 62 102 104 120 122	-1139451901998
SPT(16)	3030396226462794529	0 22 58 82 112 142 174 190 222 238 270 300 330 354 390 412	-1139318703028
SPT(16)	3030396664479309877	0 10 30 42 64 72 114 190 204 280 322 330 352 364 384 394	-701302187680
STPT(10)	3030397673035112057	0 2 30 32 42 44 54 56 84 86	307253614500
SPT(16)	3030398574024024881	0 30 42 72 98 116 146 152 186 192 222 240 266 296 308 338	1208242527324
STPT(10)	3030398636674235927	0 2 60 62 102 104 144 146 204 206	1270892738370
STPT(10)	3030398782187693549	0 2 42 44 90 92 138 140 180 182	1416406195992
SPT(16)	3030399192549711209	0 2 104 212 282 294 344 372 392 420 470 482 552 660 762 764	1826768213652