Prime p₀= 765879855892593107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Daniel
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	765878981243380063	0 16 28 30 34 54 64 76 78 90 100 120 124 126 138 154	-874649213044
SPT(16)	765879053706974573	0 44 80 84 104 114 116 150 164 198 200 210 230 234 270 314	-802185618534
STPT(10)	765879142092762239	0 2 12 14 90 92 168 170 180 182	-713799830868
TPT(14)	765879596800168187	0 2 30 32 84 86 150 152 204 206 252 254 282 284	-259092424920
SPT(16)	765879603222196901	0 8 86 98 120 168 236 242 306 312 380 428 450 462 540 548	-252670396206
SPT(16)	765879846735802681	0 42 78 148 156 172 180 198 220 238 246 262 270 340 376 418	-9156790426
SPT(16)	765879873652427063	0 26 50 54 66 80 138 158 186 206 264 278 290 294 318 344	17759833956
STPT(10)	765880117828990559	0 2 48 50 90 92 132 134 180 182	261936397452
SPT(16)	765880380848555573	0 18 54 60 84 128 170 174 194 198 240 284 308 314 350 368	524955962466
TPT(14)	765880394909790227	0 2 12 14 144 146 222 224 270 272 312 314 462 464	539017197120
STPT(10)	765880546293286157	0 2 24 26 42 44 60 62 84 86	690400693050