Prime p₀= 2344850787776305979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2344848899099922539	0 2 42 44 60 62 78 80 120 122	-1888676383440
SPT(16)	2344849135736382221	0 8 18 62 72 78 90 122 168 200 212 218 228 272 282 290	-1652039923758
SPT(16)	2344849532978617183	0 16 30 46 78 88 106 148 228 270 288 298 330 346 360 376	-1254797688796
TPT(14)	2344850184702993761	0 2 48 50 96 98 138 140 288 290 336 338 378 380	-603073312218
SPT(16)	2344850603693495971	0 12 16 58 72 118 120 162 196 238 240 286 300 342 346 358	-184082810008
SPT(16)	2344850733231585947	0 12 20 42 54 56 104 120 146 162 210 212 224 246 254 266	-54544720032
STPT(10)	2344850999484808559	0 2 42 44 90 92 138 140 180 182	211708502580
STPT(10)	2344851593494952429	0 2 18 20 30 32 42 44 60 62	805718646450
STPT(10)	2344851593581999259	0 2 18 20 30 32 42 44 60 62	805805693280
SPT(16)	2344851603455455063	0 100 114 118 180 184 186 216 238 268 270 274 336 340 354 454	815679149084
SPT(16)	2344851713552407967	0 14 24 62 66 90 134 174 182 222 266 290 294 332 342 356	925776101988