Prime p₀= 1264414947194186267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1264413538266236903	0 18 30 44 84 114 128 150 164 186 200 230 270 284 296 314	-1408927949364
SPT(16)	1264413735351443689	0 4 28 60 84 88 94 102 160 168 174 178 202 234 258 262	-1211842742578
SPT(16)	1264414455925701331	0 28 72 82 88 96 102 132 136 166 172 180 186 196 240 268	-491268484936
SPT(16)	1264414640272112519	0 42 54 78 180 192 218 224 348 354 380 392 494 518 530 572	-306922073748
SPT(16)	1264414702391225683	0 60 64 154 168 216 226 238 246 258 268 316 330 420 424 484	-244802960584
SPT(16)	1264414797872264461	0 12 16 40 42 90 142 156 166 180 232 280 282 306 310 322	-149321921806
SPT(16)	1264415058579375653	0 14 18 140 146 168 188 230 264 306 326 348 354 476 480 494	111385189386
TPT(14)	1264415423084885681	0 2 108 110 120 122 150 152 198 200 210 212 408 410	475890699414
STPT(10)	1264415561621344577	0 2 30 32 42 44 54 56 84 86	614427158310
STPT(10)	1264416153180711239	0 2 42 44 60 62 78 80 120 122	1205986524972
SPT(18)	1264416527203746517	0 6 34 76 82 94 96 112 124 252 264 280 282 294 300 342 370 376	1580009560250