Prime p₀= 2046846666874067057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2046844925519791993	0 4 10 58 60 78 96 154 180 238 256 274 276 324 330 334	-1741354275064
STPT(10)	2046845413355847677	0 2 24 26 42 44 60 62 84 86	-1253518219380
STPT(10)	2046846156828068051	0 2 30 32 78 80 126 128 156 158	-510045999006
SPT(16)	2046846261997563991	0 46 60 100 108 118 156 210 226 280 318 328 336 376 390 436	-404876503066
SPT(16)	2046846574345113649	0 12 54 94 108 124 138 142 150 154 168 184 198 238 280 292	-92528953408
STPT(10)	2046846611586215141	0 2 66 68 108 110 150 152 216 218	-55287851916
SPT(16)	2046846964578788497	0 6 10 24 52 102 124 166 180 222 244 294 322 336 340 346	297704721440
SPT(16)	2046847011596101901	0 20 26 90 120 158 176 222 266 312 330 368 398 462 468 488	344722034844
SPT(16)	2046847101384942443	0 14 66 86 140 144 146 188 276 318 320 324 378 398 450 464	434510875386
SPT(16)	2046847251842758903	0 6 16 54 58 66 70 76 108 114 118 126 130 168 178 184	584968691846
SPT(16)	2046847512990412493	0 18 56 60 74 98 126 140 174 188 216 240 254 258 296 314	846116345436