Prime p₀= 1245355689124292069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1245354445478563489	0 28 40 42 82 102 160 168 172 180 238 258 298 300 312 340	-1243645728580
STPT(10)	1245354502126647527	0 2 24 26 42 44 60 62 84 86	-1186997644542
SPT(16)	1245354713414217199	0 10 54 72 112 138 160 198 244 282 304 330 370 388 432 442	-975710074870
SPT(16)	1245355287028944757	0 24 40 70 94 96 136 144 172 180 220 222 246 276 292 316	-402095347312
SPT(16)	1245355301562475463	0 110 120 128 156 206 236 266 288 318 348 398 426 434 444 554	-387561816606
SPT(16)	1245355664993506681	0 16 28 108 112 132 136 142 186 192 196 216 220 300 312 328	-24130785388
SPT(16)	1245355692275812973	0 20 56 84 86 104 126 144 146 164 186 204 206 234 270 290	3151520904
STPT(10)	1245355702228102079	0 2 18 20 30 32 42 44 60 62	13103810010
TPT(14)	1245355858150648817	0 2 144 146 240 242 282 284 312 314 354 356 420 422	169026356748
SPT(16)	1245356470108408153	0 30 48 60 108 138 144 184 210 250 256 286 334 346 364 394	780984116084
SPT(16)	1245356842632846523	0 24 60 84 90 94 108 114 130 136 150 154 160 184 220 244	1153508554454