Prime p₀= 3619586425288240637 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: [AF] Kalianthys
db: batch=84, k=10, 2 22 2 16 2

STPT(10)	3619584111628246589	0 2 42 44 60 62 78 80 120 122	-2313659994048
SPT(16)	3619584711752869891	0 30 52 82 108 126 148 166 192 210 232 250 276 306 328 358	-1713535370746
SPT(16)	3619585089255536197	0 4 46 66 70 82 132 172 174 214 264 276 280 300 342 346	-1336032704440
SPT(16)	3619585279757013247	0 6 42 64 70 120 132 154 162 184 196 246 252 274 310 316	-1145531227390
SPT(16)	3619585368425062741	0 22 48 52 70 96 108 132 196 220 232 258 276 280 306 328	-1056863177896
STPT(10)	3619585778808182147	0 2 30 32 42 44 54 56 84 86	-646480058490
SPT(16)	3619586925605795003	0 6 14 44 56 80 138 188 216 266 324 348 360 390 398 404	500317554366
STPT(10)	3619587032053127909	0 2 48 50 90 92 132 134 180 182	606764887272
STPT(10)	3619587523074776651	0 2 126 128 168 170 210 212 336 338	1097786536014
SPT(16)	3619587699463073329	0 34 82 102 124 132 148 162 220 234 250 258 280 300 348 382	1274174832692
TPT(14)	3619587812575073081	0 2 96 98 240 242 246 248 318 320 378 380 408 410	1387286832444