Prime p₀= 2322142689364127681 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: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(18)	2322142186931350081	0 6 12 36 70 78 96 112 138 190 216 232 250 258 292 316 322 328	-502432777600
STPT(10)	2322142288091333891	0 2 30 32 120 122 210 212 240 242	-401272793790
STPT(10)	2322142320250459307	0 2 42 44 72 74 102 104 144 146	-369113668374
SPT(16)	2322142333630855609	0 4 12 34 42 60 82 112 150 180 202 220 228 250 258 262	-355733272072
SPT(16)	2322142550664989519	0 8 42 48 78 80 84 98 174 188 192 194 224 230 264 272	-138699138162
SPT(16)	2322142631212784957	0 30 62 90 96 122 174 192 194 212 264 290 296 324 356 386	-58151342724
SPT(16)	2322143221080473911	0 18 28 40 52 60 82 96 112 126 148 156 168 180 190 208	531716346230
SPT(16)	2322143291494368427	0 30 72 82 112 144 180 184 192 196 232 264 294 304 346 376	602130240746
STPT(10)	2322143624169710519	0 2 12 14 90 92 168 170 180 182	934805582838
STPT(10)	2322144121389696521	0 2 30 32 78 80 126 128 156 158	1432025568840
STPT(10)	2322144426853317509	0 2 42 44 60 62 78 80 120 122	1737489189828