Prime p₀= 2193256320032680577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Alnitak2019
db: batch=81, k=10, 2 52 2 76 2

STPT(10)	2193255073584495617	0 2 54 56 72 74 90 92 144 146	-1246448184960
TPT(14)	2193255115309811627	0 2 72 74 84 86 174 176 180 182 222 224 282 284	-1204722868950
SPT(16)	2193255193414543639	0 64 142 184 190 210 222 232 252 262 274 294 300 342 420 484	-1126618136938
SPT(16)	2193255477968276699	0 20 84 110 120 168 222 224 258 260 314 362 372 398 462 482	-842064403878
SPT(16)	2193255520520624993	0 14 44 60 66 80 140 146 168 174 234 248 254 270 300 314	-799512055584
STPT(10)	2193255603314296397	0 2 30 32 60 62 90 92 120 122	-716718384180
SPT(16)	2193256662527884381	0 10 42 52 88 102 112 138 142 168 178 192 228 238 270 280	342495203804
SPT(16)	2193256828544857633	0 4 48 60 70 120 138 154 264 280 298 348 358 370 414 418	508512177056
STPT(10)	2193256903925861867	0 2 30 32 120 122 210 212 240 242	583893181290
SPT(16)	2193256977166361441	0 26 32 56 60 80 86 102 110 126 132 152 156 180 186 212	657133680864
STPT(10)	2193257086849490327	0 2 30 32 42 44 54 56 84 86	766816809750