Prime p₀= 2120005139223974669 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: arkiss
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2120004467294817209	0 14 30 38 54 72 134 164 168 198 260 278 294 302 318 332	-671929157460
STPT(10)	2120004710257376387	0 2 30 32 42 44 54 56 84 86	-428966598282
TPT(14)	2120004838928585591	0 2 6 8 48 50 108 110 138 140 168 170 306 308	-300295389078
SPT(16)	2120004866517858611	0 98 146 152 156 176 186 200 408 422 432 452 456 462 510 608	-272706116058
SPT(16)	2120004938116812511	0 6 36 70 90 118 150 186 202 238 270 298 318 352 382 388	-201107162158
TPT(14)	2120005016308436987	0 2 42 44 120 122 162 164 210 212 330 332 342 344	-122915537682
SPT(16)	2120005447027949519	0 8 42 48 54 78 104 122 150 168 194 218 224 230 264 272	307803974850
SPT(16)	2120005604670267217	0 10 24 36 70 82 120 154 192 226 264 276 310 322 336 346	465446292548
SPT(16)	2120005683316759417	0 6 22 34 40 64 126 132 154 160 222 246 252 264 280 286	544092784748
SPT(16)	2120005908795085963	0 10 58 64 78 100 148 166 168 186 234 256 270 276 324 334	769571111294
STPT(10)	2120005982170996817	0 2 42 44 72 74 102 104 144 146	842947022148