Prime p₀= 2505399486567432779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2505398740247549051	0 6 8 42 68 72 86 120 188 222 236 240 266 300 302 308	-746319883728
SPT(16)	2505398984856264149	0 2 14 78 122 164 182 210 212 240 258 300 344 408 420 422	-501711168630
SPT(16)	2505399021966127717	0 16 66 84 94 180 204 226 300 322 346 432 442 460 510 526	-464601305062
STPT(10)	2505399023340170051	0 2 6 8 48 50 90 92 96 98	-463227262728
STPT(10)	2505399052051415459	0 2 30 32 60 62 90 92 120 122	-434516017320
STPT(10)	2505399143112250139	0 2 18 20 30 32 42 44 60 62	-343455182640
SPT(16)	2505399574328345731	0 12 40 58 66 126 166 178 210 222 262 322 330 348 376 388	87760912952
SPT(16)	2505399850595045099	0 2 38 42 68 80 108 138 152 182 210 222 248 252 288 290	364027612320
SPT(16)	2505400061064959347	0 16 60 70 72 150 160 172 174 186 196 274 276 286 330 346	574497526568
SPT(16)	2505400229587804499	0 14 18 42 44 68 90 98 144 152 174 198 200 224 228 242	743020371720
TPT(14)	2505400534252910711	0 2 96 98 138 140 180 182 216 218 228 230 240 242	1047685477932