Prime p₀= 728629851709301207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: MarkRBright
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	728629294901044169	0 24 62 98 120 128 204 240 272 308 384 392 414 450 488 512	-556808257038
SPT(16)	728629532426932847	0 6 60 96 176 204 266 270 296 300 362 390 470 506 560 566	-319282368360
SPT(16)	728629714931224181	0 62 96 110 152 176 230 242 246 258 312 336 378 392 426 488	-136778077026
SPT(16)	728629769284302311	0 6 18 20 56 66 90 116 132 158 182 192 228 230 242 248	-82424998896
STPT(10)	728629806153606521	0 2 36 38 108 110 180 182 216 218	-45555694686
TPT(14)	728629826659384541	0 2 36 38 48 50 126 128 150 152 168 170 246 248	-25049916666
SPT(16)	728629939625949281	0 8 12 18 32 72 78 92 96 110 116 156 170 176 180 188	87916648074
STPT(10)	728630558719892831	0 2 30 32 60 62 90 92 120 122	707010591624
STPT(10)	728630770024680557	0 2 60 62 72 74 84 86 144 146	918315379350
TPT(14)	728630782447942499	0 2 12 14 72 74 108 110 138 140 210 212 222 224	930738641292
SPT(16)	728630842372197109	0 10 30 72 94 100 132 168 184 220 252 258 280 322 342 352	990662895902