Prime p₀= 4044938708202524681 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: Centaur
db: batch=84, k=10, 2 4 2 40 2

SPT(16)	4044936947572623737	0 32 56 66 74 126 140 152 174 186 200 252 260 270 294 326	-1760629900944
SPT(16)	4044937101808167791	0 30 36 116 140 186 230 266 276 312 356 402 426 506 512 542	-1606394356890
STPT(10)	4044937142563320527	0 2 30 32 42 44 54 56 84 86	-1565639204154
SPT(16)	4044937874824559719	0 10 52 90 118 130 174 282 340 448 492 504 532 570 612 622	-833377964962
SPT(16)	4044938261912460953	0 56 60 68 74 80 98 120 374 396 414 420 426 434 438 494	-446290063728
STPT(10)	4044938280681266789	0 2 42 44 60 62 78 80 120 122	-427521257892
STPT(10)	4044938803496490041	0 2 6 8 18 20 30 32 36 38	95293965360
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	224401740200
STPT(12)	4044939167449691921	0 2 48 50 90 92 126 128 168 170 216 218	459247167240
SPT(16)	4044939578434079861	0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398	870231555180
SPT(16)	4044939688435957931	0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398	980233433250