Prime p₀= 2724464727021266399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	2724462221617695407	0 2 30 32 60 62 90 92 120 122	-2505403570992
SPT(16)	2724462996591042521	0 126 128 132 152 182 188 216 302 330 336 366 386 390 392 518	-1730430223878
SPT(16)	2724463208542623529	0 10 28 48 72 114 154 160 192 198 238 280 304 324 342 352	-1518478642870
STPT(10)	2724463889915429339	0 2 18 20 30 32 42 44 60 62	-837105837060
SPT(16)	2724464442156153887	0 50 56 72 102 114 120 144 152 176 182 194 224 240 246 296	-284865112512
STPT(10)	2724464567170926491	0 2 6 8 18 20 30 32 36 38	-159850339908
STPT(10)	2724465668729031959	0 2 42 44 90 92 138 140 180 182	941707765560
SPT(16)	2724466160918652307	0 22 36 42 66 70 76 82 120 126 132 136 160 166 180 202	1433897385908
STPT(10)	2724466171600872227	0 2 60 62 72 74 84 86 144 146	1444579605828
STPT(10)	2724466748180292077	0 2 30 32 42 44 54 56 84 86	2021159025678
TPT(14)	2724466967222157569	0 2 18 20 150 152 168 170 222 224 228 230 252 254	2240200891170