Prime p₀= 765892625816758409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: [SG]steini
db: batch=73, k=10, 2 10 2 16 2

SPT(16)	765891481522198651	0 28 42 76 208 228 250 300 418 468 490 510 642 676 690 718	-1144294559758
STPT(10)	765891583445271467	0 2 30 32 60 62 90 92 120 122	-1042371486942
SPT(16)	765891679854432749	0 30 38 48 102 114 122 132 140 150 158 170 224 234 242 272	-945962325660
STPT(10)	765891962790356747	0 2 42 44 72 74 102 104 144 146	-663026401662
TPT(14)	765892361043227459	0 2 30 32 138 140 198 200 222 224 312 314 402 404	-264773530950
TPT(14)	765892565348865611	0 2 126 128 150 152 198 200 228 230 270 272 378 380	-60467892798
SPT(16)	765892658777599723	0 6 54 76 84 130 138 154 240 256 264 310 318 340 388 394	32960841314
STPT(10)	765893129981029109	0 2 48 50 90 92 132 134 180 182	504164270700
SPT(16)	765893221897465093	0 40 60 64 66 78 94 106 168 180 196 208 210 214 234 274	596080706684
SPT(16)	765893637262274123	0 14 26 36 44 50 84 170 204 290 324 330 338 348 360 374	1011445515714
SPT(16)	765893652645540919	0 22 34 40 52 70 84 90 142 148 162 180 192 198 210 232	1026828782510