Prime p₀= 778871427912634127 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: Egon olsen
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	778870319227567811	0 12 18 38 56 80 102 122 216 236 258 282 300 320 326 338	-1108685066316
TPT(14)	778870483536889871	0 2 78 80 138 140 150 152 156 158 180 182 288 290	-944375744256
SPT(16)	778870531471416767	0 50 104 144 192 270 284 330 356 402 416 494 542 582 636 686	-896441217360
SPT(16)	778870985932797391	0 6 36 46 60 130 162 196 222 256 288 358 372 382 412 418	-441979836736
STPT(10)	778871080222406837	0 2 30 32 42 44 54 56 84 86	-347690227290
SPT(16)	778871299426849583	0 36 66 84 104 108 120 140 174 194 206 210 230 248 278 314	-128485784544
TPT(14)	778871464957351811	0 2 36 38 138 140 180 182 216 218 336 338 348 350	37044717684
SPT(16)	778871723692700927	0 2 32 56 90 92 120 146 186 212 240 242 276 300 330 332	295780066800
STPT(10)	778872166574438327	0 2 30 32 42 44 54 56 84 86	738661804200
TPT(14)	778872392597849369	0 2 42 44 72 74 78 80 138 140 288 290 330 332	964685215242
STPT(10)	778872515655587777	0 2 12 14 72 74 132 134 144 146	1087742953650