Prime p₀= 2564029533353744537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2564027390243885443	0 28 64 66 70 106 124 126 328 330 348 384 388 390 426 454	-2143109859094
STPT(10)	2564027914489265069	0 2 18 20 30 32 42 44 60 62	-1618864479468
STPT(10)	2564028441523452479	0 2 42 44 120 122 198 200 240 242	-1091830292058
STPT(10)	2564028751707077927	0 2 24 26 42 44 60 62 84 86	-781646666610
SPT(16)	2564028888912027137	0 12 54 56 80 104 110 300 326 516 522 546 570 572 614 626	-644441717400
SPT(16)	2564029201619711347	0 22 40 70 90 106 112 156 256 300 306 322 342 372 390 412	-331734033190
STPT(10)	2564029583565551987	0 2 30 32 72 74 114 116 144 146	50211807450
TPT(14)	2564030024165747717	0 2 24 26 60 62 84 86 114 116 150 152 240 242	490812003180
SPT(16)	2564030134645703443	0 4 18 88 174 210 234 256 258 280 304 340 426 496 510 514	601291958906
SPT(16)	2564030460047360981	0 6 50 62 78 98 110 150 248 288 300 320 336 348 392 398	926693616444
SPT(16)	2564030852038931461	0 6 28 76 90 138 180 186 190 196 238 286 300 348 370 376	1318685186924