Prime p₀= 2137666955996238767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: Landjunge
db: batch=80, k=10, 2 88 2 10 2

SPT(16)	2137665353300924791	0 88 106 156 172 186 198 252 256 310 322 336 352 402 420 508	-1602695313976
STPT(10)	2137665565404207197	0 2 60 62 72 74 84 86 144 146	-1390592031570
STPT(10)	2137665588611997317	0 2 30 32 42 44 54 56 84 86	-1367384241450
SPT(16)	2137666763303056871	0 6 12 72 86 152 156 186 212 242 246 312 326 386 392 398	-192693181896
SPT(16)	2137666770773598907	0 16 22 34 40 72 94 120 196 222 244 276 282 294 300 316	-185222639860
STPT(10)	2137666778220679241	0 2 6 8 48 50 90 92 96 98	-177775559526
SPT(16)	2137667246973615559	0 48 54 60 88 90 178 210 262 294 382 384 412 418 424 472	290977376792
STPT(10)	2137667650722407117	0 2 30 32 42 44 54 56 84 86	694726168350
SPT(16)	2137667782832693743	0 64 100 120 154 190 210 286 318 394 414 450 484 504 540 604	826836454976
STPT(10)	2137667845297026137	0 2 30 32 42 44 54 56 84 86	889300787370
STPT(10)	2137668552065282849	0 2 18 20 30 32 42 44 60 62	1596069044082