Prime p₀= 2617397570666850017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2617397000694414989	0 50 72 128 134 138 144 164 198 218 224 228 234 290 312 362	-569972435028
SPT(16)	2617397137563681929	0 8 24 30 80 92 102 108 134 140 150 162 212 218 234 242	-433103168088
SPT(16)	2617397246393153207	0 26 32 60 74 102 104 126 200 222 224 252 266 294 300 326	-324273696810
STPT(10)	2617397378779731599	0 2 42 44 60 62 78 80 120 122	-191887118418
SPT(16)	2617397448660705203	0 6 8 20 36 50 78 138 176 236 264 278 294 306 308 314	-122006144814
STPT(10)	2617397567693970287	0 2 30 32 72 74 114 116 144 146	-2972879730
STPT(10)	2617397729296899551	0 2 30 32 60 62 90 92 120 122	158630049534
SPT(16)	2617397744191303517	0 6 56 90 110 146 240 246 266 272 366 402 422 456 506 512	173524453500
STPT(10)	2617398001991658659	0 2 42 44 90 92 138 140 180 182	431324808642
STPT(10)	2617398136702046219	0 2 18 20 30 32 42 44 60 62	566035196202
STPT(10)	2617398355985494979	0 2 42 44 60 62 78 80 120 122	785318644962