Prime p₀= 2309617784359928969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: FritzB
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2309616952627076357	0 2 42 44 72 74 102 104 144 146	-831732852612
SPT(16)	2309616971487932489	0 54 60 92 108 120 122 140 162 180 182 194 210 242 248 302	-812871996480
SPT(16)	2309617047291801547	0 4 42 46 60 94 112 136 150 174 192 226 240 244 282 286	-737068127422
SPT(16)	2309617123778837987	0 60 66 80 90 122 140 156 176 192 210 242 252 266 272 332	-660581090982
STPT(10)	2309617486106626601	0 2 6 8 48 50 90 92 96 98	-298253302368
STPT(10)	2309617781829690851	0 2 36 38 78 80 120 122 156 158	-2530238118
SPT(18)	2309618241679953163	0 40 66 70 78 108 120 138 150 226 238 256 268 298 306 310 336 376	457320024194
SPT(16)	2309618459933291069	0 8 30 54 90 92 120 138 164 182 210 212 248 272 294 302	675573362100
SPT(16)	2309618481688156057	0 16 66 82 150 172 196 202 234 240 264 286 354 370 420 436	697328227088
STPT(10)	2309618510732953331	0 2 6 8 18 20 30 32 36 38	726373024362
STPT(10)	2309618643197228159	0 2 18 20 30 32 42 44 60 62	858837299190