Prime p₀= 2025688016782473257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2025687529232667197	0 2 42 44 72 74 102 104 144 146	-487549806060
SPT(16)	2025687640474192489	0 12 58 70 78 88 130 198 214 282 324 334 342 354 400 412	-376308280768
SPT(16)	2025687708745988531	0 18 26 32 38 60 98 116 132 150 188 210 216 222 230 248	-308036484726
TPT(14)	2025687793733717231	0 2 108 110 150 152 156 158 186 188 198 200 306 308	-223048756026
SPT(16)	2025687803266786121	0 26 42 60 72 80 110 126 182 198 228 236 248 266 282 308	-213515687136
SPT(16)	2025687966127992641	0 48 56 66 72 96 122 138 140 156 182 206 212 222 230 278	-50654480616
TPT(14)	2025688134893040851	0 2 6 8 48 50 156 158 408 410 420 422 498 500	118110567594
STPT(10)	2025688297412492771	0 2 36 38 78 80 120 122 156 158	280630019514
STPT(10)	2025688611030940859	0 2 12 14 90 92 168 170 180 182	594248467602
SPT(16)	2025688674914514017	0 2 14 72 114 116 122 156 170 204 210 212 254 312 324 326	658132040760
STPT(10)	2025688792428754559	0 2 42 44 120 122 198 200 240 242	775646281302