Prime p₀= 816506447196449417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: [SG]FX
db: batch=73, k=10, 2 70 2 28 2

STPT(10)	816505500230416439	0 2 18 20 60 62 102 104 120 122	-946966032978
SPT(13)	816505838155880311	0 6 60 66 90 102 126 150 162 186 192 246 252	-609040569106
SPT(16)	816505926039655121	0 2 90 140 158 186 222 246 362 386 422 450 468 518 606 608	-521156794296
SPT(16)	816506036548815659	0 8 18 30 50 72 102 128 144 170 200 222 242 254 264 272	-410647633758
TPT(14)	816506163280882577	0 2 114 116 150 152 222 224 240 242 270 272 282 284	-283915566840
SPT(16)	816506166691178203	0 48 78 84 88 100 114 120 154 160 174 186 190 196 226 274	-280505271214
STPT(10)	816506784445202087	0 2 12 14 42 44 72 74 84 86	337248752670
SPT(16)	816506992391281837	0 24 64 90 100 142 154 174 262 282 294 336 346 372 412 436	545194832420
STPT(10)	816506999823671501	0 2 36 38 78 80 120 122 156 158	552627222084
SPT(16)	816507043420213853	0 24 54 56 86 110 138 168 206 236 264 288 318 320 350 374	596223764436
STPT(10)	816507087511598597	0 2 90 92 102 104 114 116 204 206	640315149180