Prime p₀= 2005959107385080759 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: Dingo
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2005956456556107227	0 2 42 44 72 74 102 104 144 146	-2650828973532
SPT(18)	2005956572795808911	0 50 56 78 92 120 152 180 222 266 308 336 368 396 410 432 438 488	-2534589271848
SPT(16)	2005957193177482297	0 30 82 112 132 172 186 210 286 310 324 364 384 414 466 496	-1914207598462
TPT(14)	2005958056200365411	0 2 48 50 60 62 180 182 210 212 216 218 240 242	-1051184715348
STPT(10)	2005958411674333547	0 2 54 56 72 74 90 92 144 146	-695710747212
STPT(10)	2005958605085465081	0 2 6 8 18 20 30 32 36 38	-502299615678
SPT(16)	2005959288339867323	0 24 30 80 114 116 144 170 180 206 234 236 270 320 326 350	180954786564
SPT(16)	2005959369853562677	0 46 94 114 144 154 204 232 234 262 312 322 352 372 420 466	262468481918
STPT(10)	2005959697087307417	0 2 30 32 120 122 210 212 240 242	589702226658
SPT(16)	2005959808721358799	0 22 40 52 78 82 88 108 124 144 150 154 180 192 210 232	701336278040
SPT(16)	2005960018940118677	0 14 24 30 42 66 72 90 116 134 140 164 176 182 192 206	911555037918