Prime p₀= 2318879313481479167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: pipin
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2318878125098354801	0 2 36 38 78 80 120 122 156 158	-1188383124366
SPT(16)	2318878196143637383	0 28 36 40 66 84 90 120 124 154 160 178 204 208 216 244	-1117337841784
SPT(20)	2318878456954602493	0 46 54 66 90 100 118 130 174 196 198 220 264 276 294 304 328 340 348 394	-856526876674
SPT(16)	2318878552164636727	0 42 72 102 126 160 172 174 262 264 276 310 334 364 394 436	-761316842440
STPT(10)	2318878930728791237	0 2 42 44 72 74 102 104 144 146	-382752687930
SPT(16)	2318878979071355593	0 28 54 84 106 154 184 198 256 270 300 348 370 400 426 454	-334410123574
STPT(10)	2318879425133588789	0 2 42 44 90 92 138 140 180 182	111652109622
STPT(10)	2318879644327724837	0 2 72 74 102 104 132 134 204 206	330846245670
STPT(10)	2318879797011532631	0 2 30 32 60 62 90 92 120 122	483530053464
STPT(10)	2318879807758845449	0 2 18 20 30 32 42 44 60 62	494277366282
TPT(14)	2318879809996141661	0 2 36 38 78 80 90 92 96 98 150 152 168 170	496514662494