Prime p₀= 2259413499304211597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2259412407396189761	0 2 36 42 66 78 86 108 260 282 290 302 326 332 366 368	-1091908021836
SPT(16)	2259412485916977841	0 10 22 60 90 108 112 118 162 168 172 190 220 258 270 280	-1013387233756
SPT(16)	2259412750695811363	0 66 70 100 126 154 198 214 240 256 300 328 354 384 388 454	-748608400234
STPT(10)	2259412790455887791	0 2 6 8 48 50 90 92 96 98	-708848323806
STPT(10)	2259412921207908797	0 2 90 92 102 104 114 116 204 206	-578096302800
TPT(14)	2259413040614858591	0 2 138 140 210 212 246 248 336 338 378 380 390 392	-458689353006
SPT(16)	2259413513066481047	0 20 56 104 152 210 216 246 350 380 386 444 492 540 576 596	13762269450
STPT(10)	2259413545371076349	0 2 48 50 90 92 132 134 180 182	46066864752
STPT(10)	2259413668595129741	0 2 30 32 60 62 90 92 120 122	169290918144
SPT(16)	2259413723419930949	0 72 110 138 152 170 180 188 252 260 270 288 302 330 368 440	224115719352
STPT(10)	2259413791551457991	0 2 36 38 168 170 300 302 336 338	292247246394