Prime p₀= 2116675258387478819 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2116674713422423871	0 2 90 92 96 98 120 122 300 302 426 428 456 458	-544965054948
STPT(10)	2116674830375287727	0 2 30 32 42 44 54 56 84 86	-428012191092
SPT(16)	2116674894357459113	0 6 14 44 84 96 126 198 266 338 368 380 420 450 458 464	-364030019706
SPT(16)	2116675053193375067	0 12 50 54 60 66 74 116 120 162 170 176 182 186 224 236	-205194103752
STPT(10)	2116675062139911527	0 2 42 44 72 74 102 104 144 146	-196247567292
SPT(16)	2116675102959780877	0 12 66 82 126 142 210 222 250 262 330 346 390 406 460 472	-155427697942
SPT(16)	2116675665055347191	0 50 66 146 168 228 246 266 312 332 350 410 432 512 528 578	406667868372
SPT(16)	2116675984517310917	0 54 156 164 176 182 284 294 362 372 474 480 492 500 602 656	726129832098
STPT(10)	2116676054478105941	0 2 6 8 18 20 30 32 36 38	796090627122
SPT(16)	2116676354877583661	0 8 12 26 30 68 78 122 126 170 180 218 222 236 240 248	1096490104842
STPT(10)	2116676488249366661	0 2 36 38 78 80 120 122 156 158	1229861887842