Prime p₀= 2178739886501269937 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2178739097902574149	0 24 28 54 88 132 144 172 210 238 250 294 328 354 358 382	-788598695788
SPT(16)	2178739158607594003	0 54 70 88 136 180 210 238 336 364 394 438 486 504 520 574	-727893675934
TPT(14)	2178739247477677271	0 2 6 8 126 128 156 158 228 230 270 272 288 290	-639023592666
STPT(10)	2178739298590132259	0 2 18 20 60 62 102 104 120 122	-587911137678
SPT(16)	2178739480956787039	0 12 30 130 132 148 168 184 228 244 264 280 282 382 400 412	-405544482898
TPT(14)	2178739581614117141	0 2 48 50 90 92 138 140 156 158 168 170 198 200	-304887152796
STPT(10)	2178739892007467597	0 2 54 56 72 74 90 92 144 146	5506197660
TPT(14)	2178740036714736137	0 2 30 32 54 56 102 104 144 146 210 212 390 392	150213466200
STPT(10)	2178740151857340809	0 2 48 50 90 92 132 134 180 182	265356070872
STPT(10)	2178740234720996459	0 2 42 44 60 62 78 80 120 122	348219726522
SPT(16)	2178740303318273041	0 22 58 70 76 90 132 162 196 226 268 282 288 300 336 358	416817003104