Prime p₀= 820180482264042041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	820180075909555597	0 10 42 66 70 96 112 130 132 150 166 192 196 220 252 262	-406354486444
STPT(10)	820180093935381791	0 2 78 80 108 110 138 140 216 218	-388328660250
SPT(16)	820180256181572281	0 28 66 106 118 132 142 190 198 246 256 270 282 322 360 388	-226082469760
SPT(16)	820180306417858949	0 2 68 72 78 110 134 164 168 198 222 254 260 264 330 332	-175846183092
SPT(16)	820180355478913073	0 8 66 84 86 120 170 186 218 234 284 318 320 338 396 404	-126785128968
STPT(10)	820180427376703241	0 2 36 38 78 80 120 122 156 158	-54887338800
SPT(16)	820180726021794899	0 54 62 72 90 102 188 212 240 264 350 362 380 390 398 452	243757752858
STPT(10)	820180772109967901	0 2 6 8 48 50 90 92 96 98	289845925860
STPT(12)	820180864842102299	0 2 18 20 42 44 198 200 222 224 240 242	382578060258
TPT(14)	820181099959634291	0 2 60 62 138 140 180 182 216 218 240 242 336 338	617695592250
STPT(10)	820181193152396861	0 2 30 32 78 80 126 128 156 158	710888354820