Prime p₀= 2726681786989145801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2726680709556337403	0 60 84 108 114 116 150 168 206 224 258 260 266 290 314 374	-1077432808398
STPT(12)	2726680748924910257	0 2 30 32 42 44 60 62 72 74 102 104	-1038064235544
SPT(16)	2726681358760148593	0 4 6 16 34 60 94 108 286 300 334 360 378 388 390 394	-428228997208
SPT(16)	2726681455986452567	0 12 14 36 54 152 176 204 212 240 264 362 380 402 404 416	-331002693234
SPT(16)	2726681500609736077	0 6 102 114 156 214 226 276 280 330 342 400 442 454 550 556	-286379409724
SPT(16)	2726681503145613967	0 52 66 84 120 132 154 192 244 282 304 316 352 370 384 436	-283843531834
STPT(10)	2726681858616401471	0 2 30 32 78 80 126 128 156 158	71627255670
TPT(14)	2726682150139308167	0 2 30 32 102 104 300 302 372 374 384 386 492 494	363150162366
STPT(10)	2726682217235326421	0 2 30 32 78 80 126 128 156 158	430246180620
TPT(14)	2726682221258584217	0 2 24 26 180 182 312 314 324 326 444 446 462 464	434269438416
SPT(16)	2726682271440545909	0 32 98 140 144 152 170 182 210 222 240 248 252 294 360 392	484451400108