Prime p₀= 3065014146979764167 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: L@MiR
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3065012252348269453	0 10 54 60 88 90 96 124 180 208 214 216 244 250 294 304	-1894631494714
SPT(16)	3065012429262098641	0 28 42 78 88 100 130 148 222 240 270 282 292 328 342 370	-1717717665526
SPT(16)	3065012818606166119	0 18 40 52 58 70 72 150 202 280 282 294 300 312 334 352	-1328373598048
STPT(10)	3065013106378435271	0 2 66 68 138 140 210 212 276 278	-1040601328896
SPT(16)	3065013306637086989	0 2 18 30 42 48 122 132 140 150 224 230 242 254 270 272	-840342677178
STPT(10)	3065013846553603559	0 2 18 20 30 32 42 44 60 62	-300426160608
SPT(16)	3065014645039286549	0 18 42 120 122 128 134 152 210 228 234 240 242 320 344 362	498059522382
STPT(10)	3065014809189347087	0 2 54 56 132 134 210 212 264 266	662209582920
STPT(10)	3065015189425450577	0 2 30 32 42 44 54 56 84 86	1042445686410
SPT(16)	3065015251834570901	0 38 96 168 180 206 240 242 276 278 312 338 350 422 480 518	1104854806734
SPT(16)	3065015657012685287	0 20 32 42 66 72 120 140 192 212 260 266 290 300 312 332	1510032921120