Prime p₀= 2577678725346918377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

TPT(16)	2577676020044477741	0 2 30 32 96 98 210 212 228 230 336 338 396 398 438 440	-2705302440636
SPT(16)	2577676598839413163	0 16 24 58 60 70 126 130 204 208 264 274 276 310 318 334	-2126507505214
SPT(16)	2577676635845880409	0 12 18 100 112 114 142 150 172 180 208 210 222 304 310 322	-2089501037968
SPT(16)	2577676686821368973	0 18 26 54 60 66 74 84 140 150 158 164 170 198 206 224	-2038525549404
STPT(10)	2577677533395340811	0 2 78 80 138 140 198 200 276 278	-1191951577566
STPT(10)	2577678100529921027	0 2 60 62 72 74 84 86 144 146	-624816997350
SPT(16)	2577679043802240241	0 22 40 90 132 166 196 238 300 342 372 406 448 498 516 538	318455321864
STPT(10)	2577679207305997979	0 2 18 20 30 32 42 44 60 62	481959079602
STPT(10)	2577679557039840731	0 2 30 32 78 80 126 128 156 158	831692922354
STPT(10)	2577679598638484279	0 2 18 20 30 32 42 44 60 62	873291565902
STPT(10)	2577679626429897839	0 2 12 14 90 92 168 170 180 182	901082979462