Prime p₀= 2116974929373101069 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

STPT(10)	2116973841257110007	0 2 12 14 72 74 132 134 144 146	-1088115991062
SPT(16)	2116973848828696321	0 10 58 70 76 112 126 132 136 142 156 192 198 210 258 268	-1080544404748
SPT(16)	2116973887487876603	0 20 30 54 86 98 134 146 168 180 216 228 260 284 294 314	-1041885224466
SPT(16)	2116974028796306599	0 82 112 124 148 160 184 208 234 258 282 294 318 330 360 442	-900576794470
SPT(16)	2116974360295758181	0 60 70 180 190 238 256 262 366 372 390 438 448 558 568 628	-569077342888
SPT(16)	2116974868978321817	0 2 14 20 44 62 204 212 252 260 402 420 444 450 462 464	-60394779252
STPT(10)	2116975261147535819	0 2 18 20 30 32 42 44 60 62	331774434750
STPT(10)	2116975556193234767	0 2 30 32 60 62 90 92 120 122	626820133698
SPT(16)	2116975718242040393	0 6 24 44 80 110 150 168 176 194 234 264 300 320 338 344	788868939324
SPT(16)	2116975721598949399	0 48 58 60 84 100 114 130 168 184 198 214 238 240 250 298	792225848330
STPT(10)	2116976351641083209	0 2 12 14 90 92 168 170 180 182	1422267982140