Prime p₀= 2370968386635173621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2370967360214321647	0 6 10 30 34 72 84 114 172 202 214 252 256 276 280 286	-1026420851974
TPT(14)	2370967688755985441	0 2 36 38 66 68 78 80 90 92 168 170 258 260	-697879188180
STPT(10)	2370967860246298679	0 2 42 44 60 62 78 80 120 122	-526388874942
SPT(16)	2370968010883747109	0 8 72 84 92 102 132 158 174 200 230 240 248 260 324 332	-375751426512
SPT(16)	2370968197054624109	0 20 50 68 78 98 132 152 210 230 264 284 294 312 342 362	-189580549512
STPT(12)	2370968299158452129	0 2 12 14 42 44 48 50 78 80 90 92	-87476721492
STPT(10)	2370968503800768899	0 2 18 20 30 32 42 44 60 62	117165595278
STPT(10)	2370968743555343927	0 2 30 32 72 74 114 116 144 146	356920170306
STPT(10)	2370968913316444547	0 2 12 14 42 44 72 74 84 86	526681270926
SPT(16)	2370969243060306943	0 6 70 106 108 120 186 196 228 238 304 316 318 354 418 424	856425133322
STPT(10)	2370969370524246617	0 2 30 32 72 74 114 116 144 146	983889072996