Prime p₀= 2357417654037133937 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: Drago75
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2357416144020342047	0 2 24 26 42 44 60 62 84 86	-1510016791890
SPT(16)	2357416502099529769	0 10 22 28 30 42 48 52 90 94 100 112 114 120 132 142	-1151937604168
SPT(16)	2357416910672185393	0 84 106 184 196 220 238 304 390 456 474 498 510 588 610 694	-743364948544
STPT(10)	2357416986473677169	0 2 18 20 30 32 42 44 60 62	-667563456768
SPT(16)	2357417150071567439	0 18 42 50 98 102 120 122 168 170 188 192 240 248 272 290	-503965566498
STPT(10)	2357417474359322129	0 2 18 20 30 32 42 44 60 62	-179677811808
STPT(10)	2357418469793777849	0 2 18 20 30 32 42 44 60 62	815756643912
STPT(10)	2357418668392155461	0 2 30 32 60 62 90 92 120 122	1014355021524
SPT(16)	2357419014343848991	0 18 30 40 72 90 112 148 222 258 280 298 330 340 352 370	1360306715054
SPT(16)	2357419232476064651	0 26 72 108 140 168 186 200 318 332 350 378 410 446 492 518	1578438930714
STPT(10)	2357419242770661371	0 2 30 32 78 80 126 128 156 158	1588733527434