Prime p₀= 2050781191779991301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: Landjunge
db: batch=80, k=10, 2 64 2 70 2

SPT(16)	2050780247401738379	0 48 50 72 98 132 150 158 174 182 200 234 260 282 284 332	-944378252922
SPT(16)	2050780265885776253	0 26 38 54 56 86 96 110 234 248 258 288 290 306 318 344	-925894215048
SPT(16)	2050780391136893963	0 54 56 60 84 96 114 144 176 206 224 236 260 264 266 320	-800643097338
TPT(14)	2050780541431718519	0 2 42 44 90 92 120 122 132 134 150 152 168 170	-650348272782
STPT(10)	2050780620641413481	0 2 6 8 18 20 30 32 36 38	-571138577820
STPT(10)	2050780813072303139	0 2 42 44 60 62 78 80 120 122	-378707688162
SPT(16)	2050781964025402681	0 42 78 222 238 322 342 426 442 526 546 630 646 790 826 868	772245411380
TPT(14)	2050782993695489297	0 2 12 14 30 32 72 74 114 116 180 182 264 266	1801915497996
SPT(16)	2050783220572979339	0 2 20 38 62 72 80 104 108 132 140 150 174 192 210 212	2028792988038
SPT(16)	2050783252521949937	0 80 90 102 134 200 216 224 312 320 336 402 434 446 456 536	2060741958636
STPT(10)	2050783467998948867	0 2 30 32 60 62 90 92 120 122	2276218957566