Prime p₀= 2105878392116622047 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2105876527754719453	0 30 88 94 100 108 208 210 238 240 340 348 354 360 418 448	-1864361902594
SPT(16)	2105876883987426491	0 6 128 146 168 170 198 236 282 320 348 350 372 390 512 518	-1508129195556
SPT(16)	2105878071326159803	0 18 54 66 84 100 144 178 186 220 264 280 298 310 346 364	-320790462244
STPT(12)	2105878134317518709	0 2 12 14 42 44 78 80 108 110 120 122	-257799103338
STPT(10)	2105878260107240789	0 2 18 20 60 62 102 104 120 122	-132009381258
SPT(16)	2105878379500892119	0 4 34 112 160 180 190 204 250 264 274 294 342 420 450 454	-12615729928
STPT(10)	2105878637989984181	0 2 36 38 78 80 120 122 156 158	245873362134
SPT(16)	2105878895988323149	0 12 52 58 72 78 82 88 162 168 172 178 192 198 238 250	503871701102
STPT(12)	2105878974531955349	0 2 18 20 72 74 138 140 192 194 210 212	582415333302
SPT(16)	2105879545476675671	0 36 62 72 92 146 222 230 282 290 366 420 440 450 476 512	1153360053624
SPT(16)	2105879749286686927	0 10 24 54 82 100 142 166 180 204 246 264 292 322 336 346	1357170064880