Prime p₀= 2384252698695667727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2384251112081413493	0 8 14 20 24 44 48 66 98 116 120 140 144 150 156 164	-1586614254234
STPT(10)	2384251211824519319	0 2 18 20 60 62 102 104 120 122	-1486871148408
STPT(10)	2384251784320372709	0 2 78 80 120 122 162 164 240 242	-914375295018
STPT(10)	2384251815135344837	0 2 12 14 72 74 132 134 144 146	-883560322890
TPT(14)	2384252073760337327	0 2 30 32 72 74 84 86 162 164 222 224 240 242	-624935330400
STPT(10)	2384252213211454931	0 2 36 38 78 80 120 122 156 158	-485484212796
STPT(10)	2384252870585063897	0 2 12 14 42 44 72 74 84 86	171889396170
SPT(16)	2384252906378555249	0 32 50 104 120 212 240 242 300 302 330 422 438 492 510 542	207682887522
STPT(10)	2384253276586171787	0 2 24 26 42 44 60 62 84 86	577890504060
STPT(10)	2384253839068323527	0 2 30 32 42 44 54 56 84 86	1140372655800
SPT(16)	2384253966087842791	0 28 82 88 126 132 148 192 316 360 376 382 420 426 480 508	1267392175064