Prime p₀= 2293570746868550267 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: paulteo
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2293569504553191863	0 38 48 78 98 120 146 174 320 348 374 396 416 446 456 494	-1242315358404
STPT(10)	2293569636750933377	0 2 42 44 72 74 102 104 144 146	-1110117616890
SPT(16)	2293569809033882111	0 12 18 42 78 80 110 206 222 318 348 350 386 410 416 428	-937834668156
STPT(10)	2293569957869719469	0 2 48 50 90 92 132 134 180 182	-788998830798
STPT(10)	2293570233491765321	0 2 36 38 78 80 120 122 156 158	-513376784946
STPT(10)	2293570247023721759	0 2 42 44 60 62 78 80 120 122	-499844828508
STPT(10)	2293570817139858869	0 2 18 20 30 32 42 44 60 62	70271308602
TPT(14)	2293570825253535671	0 2 6 8 30 32 156 158 186 188 198 200 258 260	78384985404
SPT(16)	2293571109984578323	0 28 34 40 78 124 126 130 204 208 210 256 294 300 306 334	363116028056
SPT(16)	2293571148898107733	0 40 70 76 78 84 100 120 124 144 160 166 168 174 204 244	402029557466
STPT(10)	2293571395123923581	0 2 6 8 18 20 30 32 36 38	648255373314