Prime p₀= 2250309849209453399 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2250307958245647301	0 30 36 40 60 78 148 210 268 330 400 418 438 442 448 478	-1890963806098
SPT(16)	2250308447471070439	0 82 88 124 168 172 192 234 238 280 300 304 348 384 390 472	-1401738382960
SPT(16)	2250308553492595873	0 6 30 54 84 88 90 120 124 154 156 160 190 214 238 244	-1295716857526
SPT(16)	2250309290992745561	0 20 62 68 90 120 138 152 168 182 200 230 252 258 300 320	-558216707838
SPT(16)	2250309489060174469	0 22 28 54 72 78 82 88 114 120 124 130 148 174 180 202	-360149278930
SPT(16)	2250309686403248089	0 34 58 60 90 124 132 168 244 280 288 322 352 354 378 412	-162806205310
STPT(10)	2250309948819940331	0 2 30 32 78 80 126 128 156 158	99610486932
SPT(16)	2250310144153157929	0 10 12 72 78 82 84 94 138 148 150 154 160 220 222 232	294943704530
SPT(16)	2250310220051178151	0 6 10 16 42 66 72 126 166 220 226 250 276 282 286 292	370841724752
SPT(16)	2250310375053869483	0 18 84 90 98 134 144 150 284 290 300 336 344 350 416 434	525844416084
STPT(10)	2250310434427109627	0 2 60 62 72 74 84 86 144 146	585217656228