Prime p₀= 1725727185231928727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Alnitak2019
db: batch=79, k=10, 2 28 2 28 2

SPT(16)	1725724601060372177	0 26 56 62 102 104 126 140 276 290 312 314 354 360 390 416	-2584171556550
SPT(16)	1725725024680784431	0 36 66 76 90 100 142 162 280 300 342 352 366 376 406 442	-2160551144296
SPT(18)	1725725163918829751	0 12 38 56 96 98 138 146 150 188 192 200 240 242 282 300 326 338	-2021313098976
SPT(16)	1725725561497636549	0 48 58 88 90 102 112 114 118 120 130 142 144 174 184 232	-1623734292178
SPT(16)	1725726412738805303	0 8 26 30 38 50 66 80 114 128 144 156 164 168 186 194	-772493123424
SPT(16)	1725727117463264767	0 4 12 46 76 82 90 96 280 286 294 300 330 364 372 376	-67768663960
STPT(10)	1725727389456861611	0 2 6 8 18 20 30 32 36 38	204224932884
TPT(14)	1725727542551763869	0 2 42 44 138 140 150 152 198 200 228 230 312 314	357319835142
STPT(10)	1725727837459962899	0 2 12 14 90 92 168 170 180 182	652228034172
SPT(16)	1725728362838154251	0 2 62 96 110 152 168 198 230 260 276 318 332 366 426 428	1177606225524
STPT(12)	1725728379031750229	0 2 108 110 168 170 342 344 402 404 510 512	1193799821502