Prime p₀= 3022237177959327407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Rantanplan
db: batch=82, k=10, 2 58 2 40 2

STPT(10)	3022234901180841161	0 2 6 8 48 50 90 92 96 98	-2276778486246
SPT(16)	3022235803271917409	0 2 24 38 50 72 84 102 140 158 170 192 204 218 240 242	-1374687409998
STPT(10)	3022236073731879647	0 2 30 32 42 44 54 56 84 86	-1104227447760
STPT(10)	3022236364813606487	0 2 30 32 42 44 54 56 84 86	-813145720920
TPT(14)	3022236636353397959	0 2 42 44 108 110 150 152 348 350 402 404 420 422	-541605929448
STPT(10)	3022237082328594197	0 2 12 14 72 74 132 134 144 146	-95630733210
SPT(16)	3022237696128866549	0 20 32 38 50 74 78 90 152 164 168 192 204 210 222 242	518169539142
SPT(16)	3022237765668079733	0 14 20 24 80 84 110 164 210 264 290 294 350 354 360 374	587708752326
STPT(10)	3022237812170998409	0 2 18 20 30 32 42 44 60 62	634211671002
STPT(10)	3022237948683043787	0 2 12 14 72 74 132 134 144 146	770723716380
SPT(16)	3022238034755977867	0 30 46 82 90 130 216 280 396 460 546 586 594 630 646 676	856796650460