Prime p₀= 2943215516564923667 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: Landjunge
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2943214916525653309	0 40 78 108 112 190 222 234 268 280 312 390 394 424 462 502	-600039270358
SPT(16)	2943215177827281829	0 10 70 94 112 120 132 220 222 310 322 330 348 372 432 442	-338737641838
STPT(10)	2943215247582864299	0 2 48 50 90 92 132 134 180 182	-268982059368
SPT(16)	2943215441995904521	0 42 90 108 166 186 210 238 270 298 322 342 400 418 466 508	-74569019146
SPT(16)	2943215467532804641	0 30 52 72 78 90 106 132 136 162 178 190 196 216 238 268	-49032119026
SPT(16)	2943215514810418429	0 18 28 30 40 84 108 142 180 214 238 282 292 294 304 322	-1754505238
STPT(10)	2943216048215645177	0 2 42 44 132 134 222 224 264 266	531650721510
STPT(10)	2943216408199073717	0 2 12 14 42 44 72 74 84 86	891634150050
SPT(16)	2943216434858558681	0 20 138 162 186 210 228 242 246 260 278 302 326 350 468 488	918293635014
STPT(10)	2943216931068455537	0 2 12 14 42 44 72 74 84 86	1414503531870
SPT(16)	2943216993757362527	0 2 50 56 60 66 80 102 140 162 176 182 186 192 240 242	1477192438860