Prime p₀= 820206791902185599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	820205006143361653	0 16 24 28 36 58 100 150 154 204 246 268 276 280 288 304	-1785758823946
SPT(16)	820205067386415017	0 2 54 72 74 84 104 116 180 192 212 222 224 242 294 296	-1724515770582
SPT(16)	820205077990832701	0 30 40 70 96 100 118 126 142 150 168 172 198 228 238 268	-1713911352898
STPT(10)	820205590546611959	0 2 18 20 30 32 42 44 60 62	-1201355573640
SPT(16)	820205911993480823	0 26 48 56 74 98 114 126 128 140 156 180 198 206 228 254	-879908704776
STPT(10)	820206534418237331	0 2 30 32 78 80 126 128 156 158	-257483948268
SPT(16)	820207212935343841	0 12 58 60 108 192 196 208 270 282 286 370 418 420 466 478	421033158242
STPT(10)	820207529181070871	0 2 36 38 78 80 120 122 156 158	737278885272
SPT(16)	820207773229139773	0 18 34 36 64 84 88 100 174 186 190 210 238 240 256 274	981326954174
STPT(10)	820207858735878671	0 2 36 38 78 80 120 122 156 158	1066833693072
TPT(14)	820208005448975159	0 2 18 20 198 200 228 230 240 242 258 260 300 302	1213546789560