Prime p₀= 1248276020929502231 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: xii5ku
db: batch=77, k=10, 2 4 2 10 2

SPT(18)	1248275148290504839	0 4 22 30 52 58 108 130 148 234 252 274 324 330 352 360 378 382	-872638997392
SPT(16)	1248275153941770187	0 30 60 72 102 112 132 154 162 184 204 214 244 256 286 316	-866987732044
SPT(16)	1248275202046570051	0 22 46 120 142 168 208 228 310 330 370 396 418 492 516 538	-818882932180
SPT(16)	1248275203759163387	0 20 84 86 96 122 150 192 194 236 264 290 300 302 366 386	-817170338844
SPT(16)	1248275324571825271	0 16 30 36 96 142 190 196 222 228 276 322 382 388 402 418	-696357676960
TPT(14)	1248275400366407471	0 2 36 38 60 62 78 80 156 158 186 188 210 212	-620563094760
SPT(16)	1248276326303992883	0 44 80 126 134 174 234 240 260 266 326 366 374 420 456 500	305374490652
SPT(13)	1248276339341926123	0 6 36 48 66 78 108 138 150 168 180 210 216	318412423892
SPT(16)	1248276385433311001	0 8 20 48 60 62 92 138 140 186 216 218 230 258 270 278	364503808770
SPT(16)	1248276412043225387	0 12 14 42 56 96 140 170 186 216 260 300 314 342 344 356	391113723156
SPT(16)	1248276613453263439	0 52 64 70 78 82 100 132 310 342 360 364 372 378 390 442	592523761208