Prime p₀= 2039068900509390677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2039067946625910839	0 8 20 30 42 78 84 144 188 248 254 290 302 312 324 332	-953883479838
STPT(10)	2039068060006026977	0 2 42 44 72 74 102 104 144 146	-840503363700
SPT(16)	2039068259710374929	0 12 18 32 44 50 204 222 350 368 522 528 540 554 560 572	-640799015748
SPT(16)	2039068299882898579	0 22 54 70 72 114 184 232 270 318 388 430 432 448 480 502	-600626492098
SPT(16)	2039068366796567891	0 12 30 36 42 56 96 102 110 116 156 170 176 182 200 212	-533712822786
STPT(10)	2039068436509434227	0 2 42 44 72 74 102 104 144 146	-463999956450
SPT(16)	2039068922332335599	0 14 18 32 60 68 98 144 188 234 264 272 300 314 318 332	21822944922
SPT(16)	2039068956306847471	0 10 90 102 112 136 142 156 196 210 216 240 250 262 342 352	55797456794
STPT(10)	2039068967216711387	0 2 24 26 42 44 60 62 84 86	66707320710
STPT(10)	2039069053229683829	0 2 48 50 90 92 132 134 180 182	152720293152
SPT(16)	2039069083225143113	0 14 20 60 78 86 104 144 170 210 228 236 254 294 300 314	182715752436