Prime p₀= 2319847736923554137 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2319846451687865699	0 2 18 20 30 32 42 44 60 62	-1285235688438
SPT(16)	2319847058067688627	0 4 70 84 132 154 192 220 234 262 300 322 370 384 450 454	-678855865510
SPT(16)	2319847102341188047	0 34 40 42 60 70 94 132 172 210 234 244 262 264 270 304	-634582366090
TPT(14)	2319847239819246677	0 2 42 44 222 224 330 332 372 374 414 416 462 464	-497104307460
STPT(10)	2319847283340915899	0 2 18 20 30 32 42 44 60 62	-453582638238
SPT(16)	2319847422273372581	0 2 20 42 56 62 66 78 260 272 276 282 296 318 336 338	-314650181556
STPT(10)	2319847907808300521	0 2 36 38 78 80 120 122 156 158	170884746384
TPT(14)	2319847929917793131	0 2 36 38 126 128 150 152 288 290 306 308 330 332	192994238994
SPT(16)	2319848212476097073	0 30 68 128 144 158 170 180 224 234 246 260 276 336 374 404	475552542936
SPT(16)	2319848642434199927	0 30 32 44 72 84 102 140 186 224 242 254 282 294 296 326	905510645790
SPT(16)	2319848717833724629	0 28 30 40 52 60 102 114 238 250 292 300 312 322 324 352	980910170492