Prime p₀= 2357435676890089091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Xenon
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2357433081511629227	0 2 12 14 42 44 72 74 84 86	-2595378459864
SPT(16)	2357433246710387617	0 4 22 46 102 132 150 160 246 256 274 304 360 384 402 406	-2430179701474
SPT(16)	2357433251414931043	0 28 46 54 58 70 76 90 124 138 144 156 160 168 186 214	-2425475158048
SPT(16)	2357434416863396141	0 20 62 68 108 120 152 176 192 216 248 260 300 306 348 368	-1260026692950
STPT(10)	2357434964704489139	0 2 42 44 120 122 198 200 240 242	-712185599952
SPT(16)	2357435674464829319	0 8 12 14 60 62 114 132 140 158 210 212 258 260 264 272	-2425259772
STPT(10)	2357435744731448609	0 2 48 50 90 92 132 134 180 182	67841359518
SPT(16)	2357436138081127841	0 26 36 38 56 66 78 80 138 140 152 162 180 182 192 218	461191038750
STPT(10)	2357436182469051557	0 2 30 32 42 44 54 56 84 86	505578962466
SPT(16)	2357436447001274479	0 42 64 70 102 130 154 172 180 198 222 250 282 288 310 352	770111185388
TPT(14)	2357436485562519659	0 2 18 20 42 44 72 74 102 104 210 212 258 260	808672430568