Prime p₀= 2391635644348492457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Conan
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2391634199921630999	0 24 48 98 108 114 170 188 210 228 284 290 300 350 374 398	-1444426861458
SPT(16)	2391634778930803487	0 2 6 44 54 92 152 162 314 324 384 422 432 470 474 476	-865417688970
SPT(16)	2391635231379544643	0 8 80 104 146 198 218 258 296 336 356 408 450 474 546 554	-412968947814
TPT(14)	2391635391215875289	0 2 18 20 42 44 132 134 198 200 288 290 300 302	-253132617168
SPT(16)	2391635472886149163	0 6 60 70 108 126 136 148 156 168 178 196 234 244 298 304	-171462343294
STPT(10)	2391635507225605187	0 2 30 32 42 44 54 56 84 86	-137122887270
SPT(16)	2391635768373471589	0 22 34 40 72 100 118 124 198 204 222 250 282 288 300 322	124024979132
STPT(10)	2391635791247995811	0 2 30 32 78 80 126 128 156 158	146899503354
SPT(16)	2391636495261763187	0 12 36 74 84 102 104 132 224 252 254 272 282 320 344 356	850913270730
SPT(16)	2391636928830584509	0 18 40 60 78 100 142 172 198 228 270 292 310 330 352 370	1284482092052
SPT(13)	2391636936430166353	0 60 66 96 126 174 180 186 234 264 294 300 360	1292081673896