Prime p₀= 2025707829700174589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2025707194444924619	0 2 68 102 110 140 158 182 210 234 252 282 290 324 390 392	-635255249970
SPT(16)	2025707264727164477	0 12 30 50 54 114 132 144 170 182 200 260 264 284 302 314	-564973010112
SPT(16)	2025707269160673409	0 22 42 108 120 132 174 210 232 268 310 322 334 400 420 442	-560539501180
SPT(16)	2025707287239475199	0 62 104 122 128 182 204 308 324 428 450 504 510 528 570 632	-542460699390
STPT(10)	2025707311813664429	0 2 18 20 30 32 42 44 60 62	-517886510160
SPT(16)	2025707625065925407	0 6 14 24 90 92 96 116 210 230 234 236 302 312 320 326	-204634249182
TPT(14)	2025707841113392409	0 2 30 32 42 44 78 80 108 110 120 122 198 200	11413217820
SPT(16)	2025708731529250903	0 10 28 46 64 66 78 100 114 136 148 150 168 186 204 214	901829076314
SPT(16)	2025709046810067991	0 12 100 126 130 150 172 186 262 276 298 318 322 348 436 448	1217109893402
STPT(10)	2025709250563932719	0 2 30 32 60 62 90 92 120 122	1420863758130
STPT(10)	2025709510211075321	0 2 6 8 48 50 90 92 96 98	1680510900732