Prime p₀= 2540259680495938769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Paul
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2540258314072940207	0 32 36 50 74 84 104 132 134 162 182 192 216 230 234 266	-1366422998562
TPT(14)	2540258390648042357	0 2 42 44 54 56 102 104 234 236 282 284 360 362	-1289847896412
STPT(10)	2540258730021466511	0 2 30 32 78 80 126 128 156 158	-950474472258
SPT(20)	2540258778155833663	0 10 36 48 76 90 154 246 256 258 376 378 388 480 544 558 586 598 624 634	-902340105106
STPT(10)	2540258858596442897	0 2 90 92 132 134 174 176 264 266	-821899495872
TPT(14)	2540258910720107639	0 2 30 32 72 74 192 194 240 242 390 392 402 404	-769775831130
SPT(16)	2540259950071636109	0 48 74 80 102 174 210 212 270 272 308 380 402 408 434 482	269575697340
SPT(16)	2540260329757277279	0 54 84 104 120 132 158 180 182 204 230 242 258 278 308 362	649261338510
SPT(16)	2540260331676713917	0 12 60 66 94 96 102 126 130 154 160 162 190 196 244 256	651180775148
SPT(16)	2540260399239884491	0 46 70 78 100 112 120 178 210 268 276 288 310 318 342 388	718743945722
STPT(10)	2540260500872757329	0 2 18 20 30 32 42 44 60 62	820376818560