Prime p₀= 2656106543769966569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Time_Traveler
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2656105372517115119	0 20 24 30 42 44 74 98 174 198 228 230 242 248 252 272	-1171252851450
STPT(10)	2656105709258182859	0 2 18 20 30 32 42 44 60 62	-834511783710
STPT(10)	2656106067655131269	0 2 12 14 90 92 168 170 180 182	-476114835300
TPT(14)	2656106195295326531	0 2 6 8 156 158 168 170 216 218 240 242 336 338	-348474640038
SPT(16)	2656106407782826807	0 12 30 102 112 120 172 180 274 282 334 342 352 424 442 454	-135987139762
SPT(16)	2656106409171338471	0 38 50 56 78 210 242 278 300 336 368 500 522 528 540 578	-134598628098
STPT(10)	2656107163573615649	0 2 18 20 30 32 42 44 60 62	619803649080
STPT(10)	2656107284539419587	0 2 30 32 60 62 90 92 120 122	740769453018
SPT(16)	2656107557730458693	0 24 26 56 60 98 108 134 210 236 246 284 288 318 320 344	1013960492124
SPT(16)	2656108869432226909	0 28 108 142 154 180 184 210 262 288 292 318 330 364 444 472	2325662260340
TPT(14)	2656109172568993241	0 2 60 62 78 80 90 92 168 170 198 200 216 218	2628799026672