Prime p₀= 2356342723920218819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

STPT(10)	2356341579214412729	0 2 18 20 30 32 42 44 60 62	-1144705806090
STPT(10)	2356341580487798087	0 2 30 32 60 62 90 92 120 122	-1143432420732
STPT(10)	2356341599514080441	0 2 6 8 48 50 90 92 96 98	-1124406138378
SPT(13)	2356341769925480461	0 12 42 48 60 78 90 102 120 132 138 168 180	-953994738358
SPT(16)	2356341897223360681	0 12 48 52 70 78 82 126 172 216 220 228 246 250 286 298	-826696858138
SPT(16)	2356342067250815783	0 60 84 90 98 126 146 164 300 318 338 366 374 380 404 464	-656669403036
STPT(10)	2356342770935327267	0 2 30 32 60 62 90 92 120 122	47015108448
STPT(10)	2356342877995411829	0 2 18 20 30 32 42 44 60 62	154075193010
STPT(10)	2356342973308507367	0 2 30 32 60 62 90 92 120 122	249388288548
SPT(16)	2356343182501110149	0 14 48 50 62 78 120 140 222 242 284 300 312 314 348 362	458580891330
SPT(18)	2356343321732504911	0 10 16 30 58 70 76 100 178 210 288 312 318 330 358 372 378 388	597812286092