Prime p₀= 820180010575156337 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	820178442178458569	0 42 50 62 104 110 138 150 152 164 192 198 240 252 260 302	-1568396697768
SPT(16)	820178579678701171	0 36 60 76 78 90 106 126 172 192 208 220 222 238 262 298	-1430896455166
STPT(10)	820178939808988169	0 2 48 50 90 92 132 134 180 182	-1070766168168
STPT(10)	820179013048720517	0 2 132 134 192 194 252 254 384 386	-997526435820
SPT(16)	820179095406840857	0 140 146 176 216 224 246 276 350 380 402 410 450 480 486 626	-915168315480
SPT(16)	820179718363110109	0 28 30 54 58 72 112 120 202 210 250 264 268 292 294 322	-292212046228
SPT(16)	820180075909555597	0 10 42 66 70 96 112 130 132 150 166 192 196 220 252 262	65334399260
STPT(10)	820180093935381791	0 2 78 80 108 110 138 140 216 218	83360225454
SPT(16)	820180256181572281	0 28 66 106 118 132 142 190 198 246 256 270 282 322 360 388	245606415944
SPT(16)	820180306417858949	0 2 68 72 78 110 134 164 168 198 222 254 260 264 330 332	295842702612
SPT(16)	820180355478913073	0 8 66 84 86 120 170 186 218 234 284 318 320 338 396 404	344903756736