Prime p₀= 2356342770935327267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: arkiss
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2356341580487798087	0 2 30 32 60 62 90 92 120 122	-1190447529180
STPT(10)	2356341599514080441	0 2 6 8 48 50 90 92 96 98	-1171421246826
SPT(13)	2356341769925480461	0 12 42 48 60 78 90 102 120 132 138 168 180	-1001009846806
SPT(16)	2356341897223360681	0 12 48 52 70 78 82 126 172 216 220 228 246 250 286 298	-873711966586
SPT(16)	2356342067250815783	0 60 84 90 98 126 146 164 300 318 338 366 374 380 404 464	-703684511484
STPT(10)	2356342723920218819	0 2 42 44 60 62 78 80 120 122	-47015108448
STPT(10)	2356342877995411829	0 2 18 20 30 32 42 44 60 62	107060084562
STPT(10)	2356342973308507367	0 2 30 32 60 62 90 92 120 122	202373180100
SPT(16)	2356343182501110149	0 14 48 50 62 78 120 140 222 242 284 300 312 314 348 362	411565782882
SPT(18)	2356343321732504911	0 10 16 30 58 70 76 100 178 210 288 312 318 330 358 372 378 388	550797177644
STPT(10)	2356343398541008229	0 2 132 134 150 152 168 170 300 302	627605680962