Prime p₀= 2239164655386299957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2239163313303591677	0 2 30 32 72 74 114 116 144 146	-1342082708280
TPT(14)	2239164077289272099	0 2 72 74 108 110 330 332 360 362 378 380 390 392	-578097027858
STPT(10)	2239164268021111817	0 2 12 14 42 44 72 74 84 86	-387365188140
TPT(16)	2239164562208651897	0 2 30 32 42 44 72 74 84 86 204 206 210 212 222 224	-93177648060
STPT(10)	2239164586966208519	0 2 48 50 60 62 72 74 120 122	-68420091438
TPT(14)	2239164619941212417	0 2 24 26 102 104 180 182 234 236 240 242 282 284	-35445087540
SPT(16)	2239165235535879523	0 28 60 70 78 88 90 120 136 166 168 178 186 196 228 256	580149579566
SPT(16)	2239165938404586319	0 18 90 112 130 154 178 198 214 234 258 282 300 322 394 412	1283018286362
SPT(16)	2239166093417002121	0 26 38 42 66 78 102 138 290 326 350 362 386 390 402 428	1438030702164
STPT(10)	2239166220326188079	0 2 12 14 90 92 168 170 180 182	1564939888122
SPT(16)	2239166697695030903	0 38 50 66 78 104 114 174 200 260 270 296 308 324 336 374	2042308730946