Prime p₀= 2306812153779950021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2306811384777805847	0 2 30 32 42 44 54 56 84 86	-769002144174
SPT(16)	2306811450330984797	0 56 90 96 102 126 140 144 182 186 200 224 230 236 270 326	-703448965224
SPT(16)	2306811552081927431	0 38 50 60 66 80 90 92 156 158 168 182 188 198 210 248	-601698022590
SPT(16)	2306811834286815547	0 24 42 54 70 84 112 154 180 222 250 264 280 292 310 334	-319493134474
SPT(16)	2306812106157191383	0 48 66 70 90 108 144 150 154 160 196 214 234 238 256 304	-47622758638
SPT(16)	2306812148367204619	0 10 40 52 64 84 114 150 154 190 220 240 252 264 294 304	-5412745402
STPT(10)	2306812475695380449	0 2 18 20 30 32 42 44 60 62	321915430428
STPT(10)	2306813024960163689	0 2 48 50 90 92 132 134 180 182	871180213668
SPT(16)	2306813944359714547	0 72 84 94 114 130 154 196 270 312 336 352 372 382 394 466	1790579764526
SPT(16)	2306813982034677919	0 24 40 42 102 114 118 124 228 234 238 250 310 312 328 352	1828254727898
SPT(16)	2306814068875787899	0 30 42 82 108 130 150 154 168 172 192 214 240 280 292 322	1915095837878