Prime p₀= 1725683837131334777 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: Alnitak2019
db: batch=79, k=10, 2 10 2 58 2

SPT(16)	1725683285004801541	0 42 96 112 196 220 298 328 360 390 468 492 576 592 646 688	-552126533236
SPT(16)	1725683476965498419	0 68 78 98 152 162 204 218 234 248 290 300 354 374 384 452	-360165836358
STPT(10)	1725683580830726129	0 2 18 20 30 32 42 44 60 62	-256300608648
SPT(16)	1725683630221168733	0 24 36 104 114 146 150 170 174 194 198 230 240 308 320 344	-206910166044
SPT(16)	1725683696237997809	0 24 84 140 150 164 174 224 294 344 354 368 378 434 494 518	-140893336968
SPT(16)	1725683717383969303	0 6 10 58 76 90 100 136 210 246 256 270 288 336 340 346	-119747365474
STPT(10)	1725684137851487027	0 2 54 56 132 134 210 212 264 266	300720152250
SPT(16)	1725684445441471037	0 6 50 54 66 92 116 144 182 210 234 260 272 276 320 326	608310136260
STPT(10)	1725685031384690417	0 2 30 32 42 44 54 56 84 86	1194253355640
STPT(10)	1725685060421454677	0 2 30 32 42 44 54 56 84 86	1223290119900
TPT(14)	1725685074837254159	0 2 30 32 102 104 198 200 252 254 402 404 420 422	1237705919382