Prime p₀= 2025709510211075321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Landjunge
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2025707625065925407	0 6 14 24 90 92 96 116 210 230 234 236 302 312 320 326	-1885145149914
STPT(10)	2025707829700174589	0 2 12 14 30 32 48 50 60 62	-1680510900732
TPT(14)	2025707841113392409	0 2 30 32 42 44 78 80 108 110 120 122 198 200	-1669097682912
SPT(16)	2025708731529250903	0 10 28 46 64 66 78 100 114 136 148 150 168 186 204 214	-778681824418
SPT(16)	2025709046810067991	0 12 100 126 130 150 172 186 262 276 298 318 322 348 436 448	-463401007330
STPT(10)	2025709250563932719	0 2 30 32 60 62 90 92 120 122	-259647142602
SPT(16)	2025710036520931637	0 60 92 104 140 144 182 186 200 204 242 246 282 294 326 386	526309856316
STPT(10)	2025710054943269879	0 2 30 32 60 62 90 92 120 122	544732194558
SPT(16)	2025710102096598943	0 6 18 28 34 58 70 88 156 174 186 210 216 226 238 244	591885523622
STPT(10)	2025710393240331407	0 2 30 32 42 44 54 56 84 86	883029256086
TPT(14)	2025710748359296877	0 2 30 32 90 92 102 104 114 116 300 302 312 314	1238148221556