Prime p₀= 2301048098084737679 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(16)	2301045980289648997	0 6 16 30 54 70 82 124 132 174 186 202 226 240 250 256	-2117795088682
STPT(10)	2301046074486836777	0 2 42 44 72 74 102 104 144 146	-2023597900902
SPT(16)	2301046620789879791	0 6 8 36 78 192 206 212 336 342 356 470 512 540 542 548	-1477294857888
STPT(10)	2301046657485836957	0 2 54 56 72 74 90 92 144 146	-1440598900722
SPT(16)	2301046877785222093	0 18 46 90 156 174 196 226 258 288 310 328 394 438 466 484	-1220299515586
SPT(16)	2301047775262988977	0 12 16 24 30 36 60 70 96 106 130 136 142 150 154 166	-322821748702
SPT(16)	2301048530372774981	0 56 60 116 120 126 128 168 170 210 212 218 222 278 282 338	432288037302
STPT(10)	2301048696868140389	0 2 42 44 60 62 78 80 120 122	598783402710
SPT(16)	2301049093969868933	0 20 48 60 84 168 176 186 218 228 236 320 344 356 384 404	995885131254
STPT(10)	2301049228624257869	0 2 18 20 30 32 42 44 60 62	1130539520190
SPT(16)	2301049596650006737	0 34 52 84 112 160 162 174 262 274 276 324 352 384 402 436	1498565269058