Prime p₀= 2367535251192153797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: ChUcK
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2367533179164254119	0 18 28 30 132 142 144 160 222 238 240 250 352 354 364 382	-2072027899678
TPT(14)	2367533457503939717	0 2 24 26 42 44 144 146 150 152 192 194 222 224	-1793688214080
SPT(16)	2367533754198460283	0 8 38 60 98 120 134 168 200 234 248 270 308 330 360 368	-1496993693514
STPT(10)	2367533991745165697	0 2 24 26 42 44 60 62 84 86	-1259446988100
TPT(14)	2367534227854348871	0 2 66 68 138 140 180 182 216 218 288 290 336 338	-1023337804926
SPT(16)	2367535158657155917	0 22 66 136 156 160 196 262 264 330 366 370 390 460 504 526	-92534997880
STPT(10)	2367536093151330557	0 2 30 32 42 44 54 56 84 86	841959176760
STPT(10)	2367536510522700701	0 2 30 32 60 62 90 92 120 122	1259330546904
STPT(10)	2367537228266420261	0 2 6 8 18 20 30 32 36 38	1977074266464
SPT(20)	2367537585386786587	0 12 22 34 64 66 90 106 120 126 130 136 150 166 190 192 222 234 244 256	2334194632790
SPT(16)	2367537595441136893	0 24 36 40 46 54 66 124 150 208 220 228 234 238 250 274	2344248983096