Prime p₀= 1304813140555694051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 88 2 88 2 76 2 (?)
a_n: 0 2 78 80 168 170 258 260 336 338
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: 338
Found by: [SG-2W]Kurzer
db: batch=77, k=10, 2 76 2 88 2

SPT(16)	1304811935241119339	0 12 20 72 108 152 158 188 192 222 228 272 308 360 368 380	-1205314574712
STPT(12)	1304811964602354119	0 2 42 44 60 62 72 74 90 92 132 134	-1175953339932
STPT(14)	1304811990580936037	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-1149974758014
TPT(14)	1304811990580936037	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-1149974758014
SPT(16)	1304812733321527069	0 12 34 48 52 54 72 84 148 160 178 180 184 198 220 232	-407234166982
SPT(16)	1304813081848198231	0 28 36 112 130 138 166 178 180 192 220 228 246 322 330 358	-58707495820
STPT(10)	1304813321766934919	0 2 18 20 60 62 102 104 120 122	181211240868
SPT(16)	1304813414209258397	0 2 20 72 146 156 192 230 276 314 350 360 434 486 504 506	273653564346
STPT(10)	1304813608300987427	0 2 24 26 42 44 60 62 84 86	467745293376
STPT(10)	1304813891042120267	0 2 12 14 42 44 72 74 84 86	750486426216
STPT(10)	1304814014628625511	0 2 6 8 48 50 90 92 96 98	874072931460