Prime p₀= 2623727566337771651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2623725279415764421	0 30 52 66 100 106 108 172 216 280 282 288 322 336 358 388	-2286922007230
SPT(16)	2623725308774265629	0 24 30 68 84 128 162 164 168 170 204 248 264 302 308 332	-2257563506022
STPT(10)	2623725431076287567	0 2 12 14 42 44 72 74 84 86	-2135261484084
SPT(16)	2623726027593294907	0 40 70 112 142 154 204 220 294 310 360 372 402 444 474 514	-1538744476744
STPT(10)	2623726154173526819	0 2 18 20 30 32 42 44 60 62	-1412164244832
STPT(10)	2623726951068491687	0 2 42 44 72 74 102 104 144 146	-615269279964
SPT(16)	2623727998059506287	0 52 66 94 102 120 126 136 180 190 196 214 222 250 264 316	431721734636
SPT(16)	2623728398742712523	0 26 38 54 66 146 188 210 344 366 408 488 500 516 528 554	832404940872
STPT(10)	2623728857423945807	0 2 30 32 42 44 54 56 84 86	1291086174156
SPT(16)	2623729003542283123	0 18 28 34 40 88 90 114 130 154 156 204 210 216 226 244	1437204511472
SPT(16)	2623729389572664073	0 10 16 18 24 70 114 136 228 250 294 340 346 348 354 364	1823234892422