Prime p₀= 1295742020764096229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(13)	1295740722925223423	0 6 18 60 78 120 168 216 258 276 318 330 336	-1297838872806
SPT(16)	1295740769064793861	0 12 36 60 96 108 162 168 190 196 250 262 298 322 346 358	-1251699302368
SPT(16)	1295741363807641183	0 46 70 76 124 130 144 154 156 166 180 186 234 240 264 310	-656956455046
SPT(16)	1295741545742436137	0 14 20 44 56 102 122 164 192 234 254 300 312 336 342 356	-475021660092
STPT(10)	1295741572202790467	0 2 60 62 72 74 84 86 144 146	-448561305762
SPT(16)	1295741788015607717	0 26 44 120 134 156 170 176 324 330 344 366 380 456 474 500	-232748488512
SPT(16)	1295742168592778279	0 18 24 32 44 50 60 104 228 272 282 288 300 308 314 332	147828682050
SPT(16)	1295742276500865497	0 12 42 62 90 104 110 126 260 276 282 296 324 344 374 386	255736769268
SPT(16)	1295742612978650059	0 28 40 48 60 88 94 124 138 168 174 202 214 222 234 262	592214553830
STPT(10)	1295742707898508781	0 2 6 8 18 20 30 32 36 38	687134412552
SPT(16)	1295743297593337559	0 38 44 80 108 110 114 150 158 194 198 200 228 264 270 308	1276829241330