Prime p₀= 4253913463879187747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Chooka
db: batch=85, k=10, 2 58 2 10 2

SPT(16)	4253912156844748427	0 2 14 80 84 150 162 194 210 242 254 320 324 390 402 404	-1307034439320
STPT(10)	4253912276963876999	0 2 42 44 90 92 138 140 180 182	-1186915310748
SPT(16)	4253912771322885221	0 18 20 42 62 66 150 158 210 218 302 306 326 348 350 368	-692556302526
SPT(16)	4253912817634204909	0 22 34 42 60 90 120 132 172 184 214 244 262 270 282 304	-646244982838
STPT(10)	4253912929446623291	0 2 36 38 78 80 120 122 156 158	-534432564456
STPT(10)	4253913284838220061	0 2 36 38 78 80 120 122 156 158	-179040967686
STPT(10)	4253914018711531787	0 2 30 32 42 44 54 56 84 86	554832344040
SPT(16)	4253914036803987679	0 22 48 78 100 102 118 138 232 252 268 270 292 322 348 370	572924799932
SPT(16)	4253914898688157267	0 10 34 60 76 82 94 102 154 162 174 180 196 222 246 256	1434808969520
SPT(16)	4253914952042797343	0 18 56 66 80 96 108 120 266 278 290 306 320 330 368 386	1488163609596
SPT(16)	4253914964285743193	0 6 24 26 98 138 150 164 240 254 266 306 378 380 398 404	1500406555446