Prime p₀= 1786417133362356767 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: Orange Kid
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1786415788068725707	0 12 24 34 54 66 84 130 216 262 280 292 312 322 334 346	-1345293631060
SPT(16)	1786415818814283133	0 16 36 46 54 58 70 88 96 114 126 130 138 148 168 184	-1314548073634
SPT(13)	1786416190925098763	0 30 66 150 186 210 240 270 294 330 414 450 480	-942437258004
SPT(16)	1786416515732816477	0 20 54 66 80 102 164 174 242 252 314 336 350 362 396 416	-617629540290
TPT(14)	1786416601552632851	0 2 6 8 156 158 180 182 198 200 216 218 300 302	-531809723916
SPT(16)	1786417105237237591	0 10 28 40 52 70 100 108 172 180 210 228 240 252 270 280	-28125119176
STPT(10)	1786417159751714291	0 2 6 8 48 50 90 92 96 98	26389357524
STPT(10)	1786417372747370651	0 2 36 38 78 80 120 122 156 158	239385013884
STPT(12)	1786417630217559797	0 2 42 44 84 86 120 122 162 164 204 206	496855203030
TPT(14)	1786417868460395897	0 2 72 74 84 86 150 152 234 236 240 242 312 314	735098039130
SPT(16)	1786417958529718879	0 10 22 52 60 82 88 94 138 144 150 172 180 210 222 232	825167362112