Prime p₀= 2022392825720722751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Ben
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2022392509352396383	0 30 60 70 88 186 196 234 340 378 388 486 504 514 544 574	-316368326368
STPT(10)	2022392540621900141	0 2 30 32 78 80 126 128 156 158	-285098822610
SPT(16)	2022392555733385937	0 6 56 66 110 114 126 140 180 194 206 210 254 264 314 320	-269987336814
SPT(16)	2022392621508857963	0 74 110 126 140 164 200 264 266 330 366 390 404 420 456 530	-204211864788
STPT(10)	2022392690937044939	0 2 42 44 60 62 78 80 120 122	-134783677812
STPT(10)	2022392771352703571	0 2 6 8 48 50 90 92 96 98	-54368019180
TPT(14)	2022392917116516209	0 2 18 20 102 104 210 212 222 224 408 410 438 440	91395793458
SPT(16)	2022393151361549233	0 36 46 54 70 108 114 166 168 220 226 264 280 288 298 334	325640826482
SPT(16)	2022393481200207419	0 14 20 42 62 72 110 152 192 234 272 282 302 324 330 344	655479484668
STPT(10)	2022393494805373757	0 2 12 14 42 44 72 74 84 86	669084651006
STPT(10)	2022394386246661109	0 2 12 14 90 92 168 170 180 182	1560525938358