Prime p₀= 729343525617659567 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: MarkRBright
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	729342783070801547	0 72 84 92 114 140 156 174 182 200 216 242 264 272 284 356	-742546858020
SPT(18)	729342831782426263	0 30 36 48 96 108 168 208 220 264 276 316 376 388 436 448 454 484	-693835233304
STPT(10)	729343191007079177	0 2 12 14 42 44 72 74 84 86	-334610580390
SPT(16)	729343276646279353	0 18 36 58 66 78 94 106 108 120 136 148 156 178 196 214	-248971380214
SPT(16)	729343375238513771	0 26 38 86 140 180 186 228 260 302 308 348 402 450 462 488	-150379145796
SPT(16)	729343428749012087	0 14 54 62 110 132 134 152 162 180 182 204 252 260 300 314	-96868647480
STPT(10)	729343541757745469	0 2 18 20 60 62 102 104 120 122	16140085902
SPT(16)	729343650206061277	0 132 144 214 216 220 226 274 282 330 336 340 342 412 424 556	124588401710
STPT(10)	729343759564215041	0 2 36 38 78 80 120 122 156 158	233946555474
SPT(16)	729343889647328467	0 40 66 70 120 166 274 304 336 366 474 520 570 574 600 640	364029668900
STPT(10)	729343900492972379	0 2 18 20 30 32 42 44 60 62	374875312812