Prime p₀= 2726681858616401471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

STPT(12)	2726680748924910257	0 2 30 32 42 44 60 62 72 74 102 104	-1109691491214
SPT(16)	2726681358760148593	0 4 6 16 34 60 94 108 286 300 334 360 378 388 390 394	-499856252878
SPT(16)	2726681455986452567	0 12 14 36 54 152 176 204 212 240 264 362 380 402 404 416	-402629948904
SPT(16)	2726681500609736077	0 6 102 114 156 214 226 276 280 330 342 400 442 454 550 556	-358006665394
SPT(16)	2726681503145613967	0 52 66 84 120 132 154 192 244 282 304 316 352 370 384 436	-355470787504
STPT(10)	2726681786989145801	0 2 6 8 48 50 90 92 96 98	-71627255670
TPT(14)	2726682150139308167	0 2 30 32 102 104 300 302 372 374 384 386 492 494	291522906696
STPT(10)	2726682217235326421	0 2 30 32 78 80 126 128 156 158	358618924950
TPT(14)	2726682221258584217	0 2 24 26 180 182 312 314 324 326 444 446 462 464	362642182746
SPT(16)	2726682271440545909	0 32 98 140 144 152 170 182 210 222 240 248 252 294 360 392	412824144438
STPT(10)	2726682817824625139	0 2 18 20 30 32 42 44 60 62	959208223668