Prime p₀= 2307376875365372507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Landjunge
db: batch=81, k=10, 2 28 2 40 2

STPT(10)	2307375934266118757	0 2 30 32 42 44 54 56 84 86	-941099253750
SPT(16)	2307375936674197639	0 22 90 118 150 172 174 178 204 208 210 232 264 292 360 382	-938691174868
STPT(10)	2307376000966302689	0 2 12 14 150 152 288 290 300 302	-874399069818
SPT(16)	2307376306011431483	0 24 36 38 56 86 164 168 206 210 288 318 336 338 350 374	-569353941024
STPT(10)	2307376663545617141	0 2 30 32 78 80 126 128 156 158	-211819755366
TPT(14)	2307376753797711779	0 2 120 122 150 152 240 242 390 392 408 410 492 494	-121567660728
SPT(16)	2307377289028323319	0 40 54 64 82 90 100 112 162 174 184 192 210 220 234 274	413662950812
SPT(16)	2307377495807448347	0 12 30 92 114 164 176 192 194 210 222 272 294 356 374 386	620442075840
SPT(16)	2307377685656816687	0 14 54 56 74 90 102 116 210 224 236 252 270 272 312 326	810291444180
SPT(16)	2307378079974357557	0 12 14 32 66 72 110 116 150 156 194 200 234 252 254 266	1204608985050
STPT(10)	2307378244269307211	0 2 30 32 60 62 90 92 120 122	1368903934704