Prime p₀= 4275645737356284017 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: Chooka
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4275644415786887417	0 14 30 42 84 114 120 150 176 206 212 242 284 296 312 326	-1321569396600
SPT(16)	4275644484958064747	0 26 42 50 102 116 152 174 182 204 240 254 306 314 330 356	-1252398219270
STPT(10)	4275644538487608149	0 2 48 50 90 92 132 134 180 182	-1198868675868
STPT(10)	4275644722534875881	0 2 36 38 78 80 120 122 156 158	-1014821408136
SPT(16)	4275645222744102679	0 54 58 120 124 184 198 208 234 244 258 318 322 384 388 442	-514612181338
STPT(10)	4275645615069698657	0 2 60 62 72 74 84 86 144 146	-122286585360
SPT(16)	4275646145167030789	0 30 72 88 102 114 124 130 162 168 178 190 204 220 262 292	407810746772
TPT(14)	4275646201427779859	0 2 30 32 90 92 132 134 168 170 198 200 258 260	464071495842
SPT(16)	4275646243371162389	0 8 14 72 74 92 134 144 158 168 210 228 230 288 294 302	506014878372
SPT(16)	4275646502357723981	0 8 42 108 116 140 158 200 228 270 288 312 320 386 420 428	765001439964
STPT(10)	4275647389959080087	0 2 30 32 42 44 54 56 84 86	1652602796070