Prime p₀= 2767381574686374827 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2767380639364218971	0 2 36 38 78 80 120 122 156 158	-935322155856
SPT(16)	2767380881410001621	0 30 32 62 66 92 98 108 140 150 156 182 186 216 218 248	-693276373206
STPT(10)	2767380915088645949	0 2 42 44 60 62 78 80 120 122	-659597728878
STPT(10)	2767380986599117919	0 2 18 20 30 32 42 44 60 62	-588087256908
SPT(16)	2767381037339801963	0 6 20 38 44 56 78 120 134 176 198 210 216 234 248 254	-537346572864
TPT(14)	2767381283459016647	0 2 24 26 54 56 132 134 174 176 192 194 222 224	-291227358180
SPT(16)	2767381851842494213	0 60 88 228 280 304 346 354 370 378 420 444 496 636 664 724	277156119386
STPT(10)	2767381907623817987	0 2 24 26 42 44 60 62 84 86	332937443160
SPT(16)	2767382536669470443	0 8 20 50 78 84 138 140 294 296 350 356 384 414 426 434	961983095616
SPT(16)	2767382598963863537	0 26 56 62 90 116 152 164 342 354 390 416 444 450 480 506	1024277488710
SPT(16)	2767382988367757021	0 6 20 36 42 80 96 108 110 122 138 176 182 198 212 218	1413681382194