Prime p₀= 765879142092762239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Daniel
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	765878246727796607	0 12 26 42 116 140 146 182 240 276 282 306 380 396 410 422	-895364965632
TPT(14)	765878352294534467	0 2 42 44 60 62 84 86 102 104 162 164 174 176	-789798227772
STPT(10)	765878599636606637	0 2 30 32 42 44 54 56 84 86	-542456155602
STPT(10)	765878725332169451	0 2 30 32 60 62 90 92 120 122	-416760592788
SPT(16)	765878981243380063	0 16 28 30 34 54 64 76 78 90 100 120 124 126 138 154	-160849382176
SPT(16)	765879053706974573	0 44 80 84 104 114 116 150 164 198 200 210 230 234 270 314	-88385787666
TPT(14)	765879596800168187	0 2 30 32 84 86 150 152 204 206 252 254 282 284	454707405948
SPT(16)	765879603222196901	0 8 86 98 120 168 236 242 306 312 380 428 450 462 540 548	461129434662
SPT(16)	765879846735802681	0 42 78 148 156 172 180 198 220 238 246 262 270 340 376 418	704643040442
STPT(10)	765879855892593107	0 2 12 14 42 44 72 74 84 86	713799830868
SPT(16)	765879873652427063	0 26 50 54 66 80 138 158 186 206 264 278 290 294 318 344	731559664824