Prime p₀= 2070561348671691581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 106 2 106 2 58 2 (?)
a_n: 0 2 60 62 168 170 276 278 336 338
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: 338
Found by: Cruncher Pete
db: batch=80, k=10, 2 58 2 106 2

SPT(16)	2070559383571720793	0 26 96 104 140 170 188 204 230 246 264 294 330 338 408 434	-1965099970788
SPT(16)	2070559763617054537	0 6 46 70 90 120 132 150 196 214 226 256 276 300 340 346	-1585054637044
SPT(16)	2070560031491552197	0 22 36 42 84 100 102 156 190 244 246 262 304 310 324 346	-1317180139384
STPT(10)	2070560083266564299	0 2 12 14 90 92 168 170 180 182	-1265405127282
SPT(16)	2070560460007198613	0 24 48 60 80 98 114 128 186 200 216 234 254 266 290 314	-888664492968
STPT(10)	2070561210414146531	0 2 6 8 48 50 90 92 96 98	-138257545050
SPT(18)	2070561433487589979	0 40 60 70 72 88 100 112 184 198 270 282 294 310 312 322 342 382	84815898398
STPT(10)	2070561491207613797	0 2 30 32 42 44 54 56 84 86	142535922216
STPT(10)	2070561789197343821	0 2 36 38 78 80 120 122 156 158	440525652240
SPT(16)	2070562007679101837	0 6 14 54 60 80 84 116 384 416 420 440 446 486 494 500	659007410256
SPT(16)	2070562406332421719	0 18 22 40 58 82 102 204 208 310 330 354 372 390 394 412	1057660730138