Prime p₀= 2357417474359322129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Drago75
db: batch=81, k=10, 2 16 2 10 2

SPT(13)	2357416143361119067	0 24 30 42 84 132 162 192 240 282 294 300 324	-1330998203062
STPT(10)	2357416144020342047	0 2 24 26 42 44 60 62 84 86	-1330338980082
SPT(16)	2357416502099529769	0 10 22 28 30 42 48 52 90 94 100 112 114 120 132 142	-972259792360
SPT(16)	2357416910672185393	0 84 106 184 196 220 238 304 390 456 474 498 510 588 610 694	-563687136736
STPT(10)	2357416986473677169	0 2 18 20 30 32 42 44 60 62	-487885644960
SPT(16)	2357417150071567439	0 18 42 50 98 102 120 122 168 170 188 192 240 248 272 290	-324287754690
STPT(10)	2357417654037133937	0 2 30 32 42 44 54 56 84 86	179677811808
STPT(10)	2357418469793777849	0 2 18 20 30 32 42 44 60 62	995434455720
STPT(10)	2357418668392155461	0 2 30 32 60 62 90 92 120 122	1194032833332
SPT(16)	2357419014343848991	0 18 30 40 72 90 112 148 222 258 280 298 330 340 352 370	1539984526862
SPT(16)	2357419232476064651	0 26 72 108 140 168 186 200 318 332 350 378 410 446 492 518	1758116742522