Prime p₀= 2137667650722407117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2137665588611997317	0 2 30 32 42 44 54 56 84 86	-2062110409800
SPT(16)	2137666763303056871	0 6 12 72 86 152 156 186 212 242 246 312 326 386 392 398	-887419350246
SPT(16)	2137666770773598907	0 16 22 34 40 72 94 120 196 222 244 276 282 294 300 316	-879948808210
STPT(10)	2137666778220679241	0 2 6 8 48 50 90 92 96 98	-872501727876
STPT(10)	2137666955996238767	0 2 90 92 102 104 114 116 204 206	-694726168350
SPT(16)	2137667246973615559	0 48 54 60 88 90 178 210 262 294 382 384 412 418 424 472	-403748791558
SPT(16)	2137667782832693743	0 64 100 120 154 190 210 286 318 394 414 450 484 504 540 604	132110286626
STPT(10)	2137667845297026137	0 2 30 32 42 44 54 56 84 86	194574619020
STPT(10)	2137668552065282849	0 2 18 20 30 32 42 44 60 62	901342875732
SPT(16)	2137668729045214577	0 6 80 86 90 104 146 164 192 210 252 266 270 276 350 356	1078322807460
STPT(10)	2137668797393290277	0 2 30 32 42 44 54 56 84 86	1146670883160