Prime p₀= 2308409264305228727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2308407904786478851	0 10 16 52 82 102 130 142 210 222 250 270 300 336 342 352	-1359518749876
SPT(16)	2308408005704653543	0 28 54 96 160 168 196 208 216 228 256 264 328 370 396 424	-1258600575184
STPT(10)	2308408025924588639	0 2 42 44 120 122 198 200 240 242	-1238380640088
SPT(16)	2308408178513249473	0 30 58 70 94 108 136 160 174 198 226 240 264 276 304 334	-1085791979254
STPT(10)	2308408570813338479	0 2 12 14 90 92 168 170 180 182	-693491890248
STPT(10)	2308408823661778427	0 2 72 74 102 104 132 134 204 206	-440643450300
SPT(16)	2308409300094198443	0 8 18 38 104 176 206 216 218 228 258 330 396 416 426 434	35788969716
STPT(10)	2308409370145604021	0 2 6 8 18 20 30 32 36 38	105840375294
SPT(16)	2308409429457419933	0 30 50 78 80 138 164 176 228 240 266 324 326 354 374 404	165152191206
STPT(10)	2308409443798146497	0 2 30 32 42 44 54 56 84 86	179492917770
SPT(16)	2308409884595203513	0 34 36 70 90 124 154 166 258 270 300 334 354 388 390 424	620289974786