Prime p₀= 2577678100529921027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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 58 2 10 2

SPT(16)	2577675910165382183	0 36 54 78 80 84 110 114 230 234 260 264 266 290 308 344	-2190364538844
TPT(16)	2577676020044477741	0 2 30 32 96 98 210 212 228 230 336 338 396 398 438 440	-2080485443286
SPT(16)	2577676598839413163	0 16 24 58 60 70 126 130 204 208 264 274 276 310 318 334	-1501690507864
SPT(16)	2577676635845880409	0 12 18 100 112 114 142 150 172 180 208 210 222 304 310 322	-1464684040618
SPT(16)	2577676686821368973	0 18 26 54 60 66 74 84 140 150 158 164 170 198 206 224	-1413708552054
STPT(10)	2577677533395340811	0 2 78 80 138 140 198 200 276 278	-567134580216
STPT(10)	2577678725346918377	0 2 30 32 60 62 90 92 120 122	624816997350
SPT(16)	2577679043802240241	0 22 40 90 132 166 196 238 300 342 372 406 448 498 516 538	943272319214
STPT(10)	2577679207305997979	0 2 18 20 30 32 42 44 60 62	1106776076952
STPT(10)	2577679557039840731	0 2 30 32 78 80 126 128 156 158	1456509919704
STPT(10)	2577679598638484279	0 2 18 20 30 32 42 44 60 62	1498108563252