Prime p₀= 820003164544396499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: suriv
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	820002499394353333	0 48 64 66 88 94 136 148 156 168 210 216 238 240 256 304	-665150043166
STPT(10)	820002519565197557	0 2 30 32 42 44 54 56 84 86	-644979198942
SPT(16)	820002559624586423	0 18 24 56 114 116 120 158 246 284 288 290 348 380 386 404	-604919810076
STPT(10)	820002724525314191	0 2 36 38 78 80 120 122 156 158	-440019082308
STPT(10)	820002775692195449	0 2 48 50 90 92 132 134 180 182	-388852201050
SPT(16)	820003085642401399	0 100 112 120 138 142 168 252 268 352 378 382 400 408 420 520	-78901995100
SPT(16)	820003435841605937	0 6 36 104 140 164 192 204 272 284 312 336 372 440 470 476	271297209438
SPT(16)	820003487586726277	0 4 42 64 120 132 154 156 160 162 184 196 252 274 312 316	323042329778
TPT(14)	820003702127758451	0 2 78 80 90 92 198 200 240 242 246 248 270 272	537583361952
STPT(10)	820004075034440501	0 2 6 8 18 20 30 32 36 38	910490044002
STPT(10)	820004343941787419	0 2 18 20 30 32 42 44 60 62	1179397390920