Prime p₀= 2590057248549743669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	2590054555845892277	0 2 30 32 102 104 174 176 204 206	-2692703851392
SPT(16)	2590055210985419041	0 12 36 78 82 88 96 102 106 112 120 126 130 172 196 208	-2037564324628
SPT(16)	2590055812619939689	0 42 70 90 124 172 174 204 208 238 240 288 322 342 370 412	-1435929803980
STPT(10)	2590056258276741437	0 2 30 32 42 44 54 56 84 86	-990273002232
SPT(16)	2590056364940006777	0 20 42 50 62 104 170 224 240 294 360 402 414 422 444 464	-883609736892
SPT(16)	2590057170524113897	0 10 60 70 94 102 136 154 192 210 244 252 276 286 336 346	-78025629772
SPT(20)	2590057344711570667	0 6 30 52 70 82 84 142 156 160 216 220 234 292 294 306 324 346 370 376	96161826998
TPT(14)	2590057739918661767	0 2 42 44 54 56 84 86 102 104 144 146 150 152	491368918098
SPT(16)	2590058024993004301	0 22 30 60 88 102 112 130 180 198 208 222 250 280 288 310	776443260632
STPT(10)	2590058046688309397	0 2 12 14 72 74 132 134 144 146	798138565728
SPT(16)	2590058221456298927	0 42 66 116 132 144 162 164 312 314 332 344 360 410 434 476	972906555258