Prime p₀= 2040568765609069877 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)	2040567690068966039	0 44 50 72 80 90 158 164 168 174 242 252 260 282 288 332	-1075540103838
SPT(16)	2040567920101885019	0 18 24 32 42 44 74 80 102 108 138 140 150 158 164 182	-845507184858
SPT(16)	2040568010419002893	0 6 14 44 48 78 98 114 140 156 176 206 210 240 248 254	-755190066984
STPT(10)	2040568033799060537	0 2 90 92 102 104 114 116 204 206	-731810009340
STPT(10)	2040568274691933977	0 2 12 14 42 44 72 74 84 86	-490917135900
TPT(14)	2040568303618090271	0 2 18 20 126 128 156 158 186 188 240 242 258 260	-461990979606
STPT(10)	2040569259277702577	0 2 30 32 72 74 114 116 144 146	493668632700
STPT(10)	2040569268077099729	0 2 12 14 30 32 48 50 60 62	502468029852
SPT(16)	2040569345284632557	0 14 26 36 92 110 176 204 212 240 306 324 380 390 402 416	579675562680
TPT(14)	2040569590454302907	0 2 72 74 150 152 180 182 234 236 444 446 462 464	824845233030
SPT(16)	2040569639162986649	0 18 20 54 78 158 168 174 188 194 204 284 308 342 344 362	873553916772