Prime p₀= 4044938803496490041 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: Centaur
db: batch=84, k=10, 2 4 2 10 2

SPT(16)	4044937101808167791	0 30 36 116 140 186 230 266 276 312 356 402 426 506 512 542	-1701688322250
STPT(10)	4044937142563320527	0 2 30 32 42 44 54 56 84 86	-1660933169514
SPT(16)	4044937874824559719	0 10 52 90 118 130 174 282 340 448 492 504 532 570 612 622	-928671930322
SPT(16)	4044938261912460953	0 56 60 68 74 80 98 120 374 396 414 420 426 434 438 494	-541584029088
STPT(10)	4044938280681266789	0 2 42 44 60 62 78 80 120 122	-522815223252
STPT(10)	4044938708202524681	0 2 6 8 48 50 90 92 96 98	-95293965360
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	129107774840
STPT(12)	4044939167449691921	0 2 48 50 90 92 126 128 168 170 216 218	363953201880
SPT(16)	4044939578434079861	0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398	774937589820
SPT(16)	4044939688435957931	0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398	884939467890
SPT(16)	4044939848240303273	0 18 66 86 108 114 156 158 216 218 260 266 288 308 356 374	1044743813232