Prime p₀= 2043657208928924777 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: Paul
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2043655797203372687	0 2 14 24 62 114 144 234 272 362 392 444 482 492 504 506	-1411725552090
TPT(14)	2043656072187532109	0 2 30 32 60 62 270 272 282 284 312 314 348 350	-1136741392668
SPT(16)	2043656150337002021	0 36 38 78 80 98 108 116 132 140 150 168 170 210 212 248	-1058591922756
STPT(10)	2043656225665404527	0 2 60 62 72 74 84 86 144 146	-983263520250
STPT(12)	2043656352608110619	0 2 12 14 42 44 120 122 150 152 162 164	-856320814158
STPT(10)	2043656883356004359	0 2 42 44 60 62 78 80 120 122	-325572920418
TPT(14)	2043657666475997309	0 2 12 14 48 50 108 110 150 152 180 182 288 290	457547072532
STPT(10)	2043658239263620919	0 2 42 44 60 62 78 80 120 122	1030334696142
SPT(16)	2043658337984037869	0 2 8 48 78 168 240 278 282 320 392 482 512 552 558 560	1129055113092
SPT(16)	2043658341544351549	0 94 108 120 132 154 174 198 364 388 408 430 442 454 468 562	1132615426772
STPT(10)	2043658514135886257	0 2 30 32 42 44 54 56 84 86	1305206961480