Prime p₀= 1214555709773313107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1214554772366949577	0 12 42 70 72 84 100 102 142 144 160 172 174 202 232 244	-937406363530
STPT(10)	1214554818000859637	0 2 30 32 42 44 54 56 84 86	-891772453470
SPT(16)	1214554956260360369	0 30 44 54 62 74 92 120 194 222 240 252 260 270 284 314	-753512952738
SPT(16)	1214555232768454961	0 60 72 80 140 158 198 212 228 242 282 300 360 368 380 440	-477004858146
SPT(16)	1214555392517906623	0 10 18 106 120 198 228 238 276 286 316 394 408 496 504 514	-317255406484
SPT(16)	1214555708924344513	0 4 48 96 100 156 168 184 210 226 238 294 298 346 390 394	-848968594
STPT(10)	1214555871264285029	0 2 18 20 30 32 42 44 60 62	161490971922
SPT(16)	1214556249091107269	0 20 78 84 102 152 188 204 278 294 330 380 398 404 462 482	539317794162
SPT(16)	1214556267637952803	0 64 70 78 124 154 210 214 240 244 300 330 376 384 390 454	557864639696
SPT(16)	1214556305698083077	0 2 6 72 114 120 144 156 230 242 266 272 314 380 384 386	595924769970
SPT(16)	1214556629263097947	0 10 24 30 94 102 106 184 192 270 274 282 346 352 366 376	919489784840