Prime p₀= 2355536172143516027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2355535552711968751	0 10 46 88 106 120 132 172 336 376 388 402 420 462 498 508	-619431547276
STPT(10)	2355535604497773947	0 2 12 14 72 74 132 134 144 146	-567645742080
STPT(10)	2355535744089710009	0 2 42 44 60 62 78 80 120 122	-428053806018
STPT(10)	2355535760257598507	0 2 30 32 42 44 54 56 84 86	-411885917520
SPT(16)	2355535863449953141	0 48 52 72 90 102 112 118 150 156 166 178 196 216 220 268	-308693562886
STPT(10)	2355536074857702167	0 2 54 56 72 74 90 92 144 146	-97285813860
SPT(16)	2355536407573461127	0 4 22 42 60 100 120 126 130 136 156 196 214 234 252 256	235429945100
STPT(10)	2355536555535025307	0 2 30 32 42 44 54 56 84 86	383391509280
SPT(16)	2355536768972841019	0 42 48 88 150 168 172 210 220 258 262 280 342 382 388 430	596829324992
STPT(12)	2355536939604623849	0 2 42 44 90 92 180 182 228 230 270 272	767461107822
STPT(10)	2355537247224147599	0 2 18 20 30 32 42 44 60 62	1075080631572