Prime p₀= 3029386462693633841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Rantanplan
db: batch=82, k=10, 2 106 2 28 2

TPT(14)	3029385811739828339	0 2 12 14 78 80 138 140 162 164 192 194 402 404	-650953805502
SPT(16)	3029385941790641063	0 8 36 38 60 66 80 168 278 366 380 386 408 410 438 446	-520902992778
TPT(14)	3029386022948547257	0 2 30 32 84 86 114 116 282 284 414 416 480 482	-439745086584
SPT(16)	3029386110281475727	0 16 66 70 82 112 136 142 150 156 180 210 222 226 276 292	-352412158114
TPT(14)	3029386206656215331	0 2 48 50 90 92 198 200 258 260 330 332 336 338	-256037418510
SPT(16)	3029386348525963831	0 6 18 28 40 66 108 132 136 160 202 228 240 250 262 268	-114167670010
TPT(14)	3029386550790492419	0 2 72 74 90 92 198 200 300 302 330 332 378 380	88096858578
STPT(10)	3029386716786246449	0 2 42 44 90 92 138 140 180 182	254092612608
SPT(16)	3029387178409701259	0 22 40 42 124 132 204 208 534 538 610 618 700 702 720 742	715716067418
STPT(10)	3029387272118598299	0 2 18 20 30 32 42 44 60 62	809424964458
SPT(16)	3029387521578433033	0 28 30 84 118 120 124 154 174 204 208 210 244 298 300 328	1058884799192