Prime p₀= 2326725175779860027 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)	2326722961450299571	0 12 22 42 90 112 120 168 172 220 228 250 298 318 328 340	-2214329560456
SPT(16)	2326723006263756899	0 24 32 60 80 122 128 144 218 234 240 282 302 330 338 362	-2169516103128
TPT(14)	2326723043292215411	0 2 30 32 126 128 156 158 186 188 228 230 258 260	-2132487644616
STPT(10)	2326723108326875891	0 2 6 8 48 50 90 92 96 98	-2067452984136
SPT(16)	2326724509136551913	0 48 56 86 114 158 186 200 294 308 336 380 408 438 446 494	-666643308114
SPT(16)	2326724838782071451	0 12 26 38 50 80 96 98 120 122 138 168 180 192 206 218	-336997788576
SPT(16)	2326725443377611733	0 64 70 84 114 130 196 226 288 318 384 400 430 444 450 514	267597751706
STPT(10)	2326725579938789957	0 2 12 14 72 74 132 134 144 146	404158929930
STPT(10)	2326726142758199261	0 2 30 32 78 80 126 128 156 158	966978339234
STPT(10)	2326726288873358969	0 2 18 20 60 62 102 104 120 122	1113093498942
STPT(10)	2326726379490932561	0 2 6 8 18 20 30 32 36 38	1203711072534