Prime p₀= 2342606967331070777 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(20)	2342606210447467127	0 42 60 170 182 186 224 246 254 284 342 372 380 402 440 444 456 566 584 626	-756883603650
SPT(16)	2342606569828499839	0 12 30 88 208 210 238 270 352 384 412 414 534 592 610 622	-397502570938
SPT(16)	2342606598114016981	0 28 40 60 70 88 138 192 196 250 300 318 328 348 360 388	-369217053796
SPT(16)	2342606641134108143	0 14 44 68 78 120 174 216 218 260 314 356 366 390 420 434	-326196962634
SPT(16)	2342606811022463473	0 54 60 76 88 126 160 166 168 174 208 246 258 274 280 334	-156308607304
SPT(16)	2342606898249687673	0 18 64 66 70 114 120 136 168 184 190 234 238 240 286 304	-69081383104
SPT(16)	2342607068891751007	0 24 34 54 64 84 90 124 150 184 190 210 220 240 250 274	101560680230
STPT(10)	2342607169071315269	0 2 12 14 30 32 48 50 60 62	201740244492
SPT(16)	2342607263231195641	0 18 22 42 52 72 76 88 90 102 106 126 136 156 160 178	295900124864
SPT(16)	2342607688532033771	0 2 6 18 32 38 92 116 342 366 420 426 440 452 456 458	721200962994
SPT(16)	2342607761656868089	0 4 24 28 72 154 168 174 178 184 198 280 324 328 348 352	794325797312