Prime p₀= 2012821396623143807 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2012819663491297667	0 2 30 32 42 44 54 56 84 86	-1733131846140
SPT(16)	2012820452538291397	0 22 40 72 94 112 144 162 172 190 222 240 262 294 312 334	-944084852410
SPT(16)	2012820545482766881	0 16 28 102 120 130 196 198 220 222 288 298 316 390 402 418	-851140376926
SPT(16)	2012820637976808181	0 16 60 78 82 106 142 156 172 186 222 246 250 268 312 328	-758646335626
STPT(10)	2012821190534315171	0 2 6 8 48 50 90 92 96 98	-206088828636
SPT(16)	2012821214359384591	0 10 52 70 108 112 130 148 312 330 348 352 390 408 450 460	-182263759216
STPT(10)	2012821913673236291	0 2 66 68 108 110 150 152 216 218	517050092484
STPT(10)	2012822124009590039	0 2 42 44 210 212 378 380 420 422	727386446232
STPT(10)	2012823271751870099	0 2 18 20 30 32 42 44 60 62	1875128726292
STPT(10)	2012823365830902179	0 2 18 20 60 62 102 104 120 122	1969207758372
SPT(16)	2012823369613775567	0 24 56 66 114 140 144 162 164 182 186 212 260 270 302 326	1972990631760