Prime p₀= 2039068967216711387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2039068299882898579	0 22 54 70 72 114 184 232 270 318 388 430 432 448 480 502	-667333812808
SPT(16)	2039068366796567891	0 12 30 36 42 56 96 102 110 116 156 170 176 182 200 212	-600420143496
STPT(10)	2039068436509434227	0 2 42 44 72 74 102 104 144 146	-530707277160
STPT(10)	2039068900509390677	0 2 12 14 72 74 132 134 144 146	-66707320710
SPT(16)	2039068922332335599	0 14 18 32 60 68 98 144 188 234 264 272 300 314 318 332	-44884375788
SPT(16)	2039068956306847471	0 10 90 102 112 136 142 156 196 210 216 240 250 262 342 352	-10909863916
STPT(10)	2039069053229683829	0 2 48 50 90 92 132 134 180 182	86012972442
SPT(16)	2039069083225143113	0 14 20 60 78 86 104 144 170 210 228 236 254 294 300 314	116008431726
STPT(10)	2039069329322928737	0 2 30 32 102 104 174 176 204 206	362106217350
TPT(14)	2039069731806129887	0 2 42 44 54 56 102 104 144 146 294 296 300 302	764589418500
SPT(18)	2039069732322050251	0 18 42 88 118 120 168 202 220 288 306 340 388 390 420 466 490 508	765105338864