Prime p₀= 2972578417651347677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2972576712843294373	0 18 24 60 78 90 154 166 258 270 334 346 364 400 406 424	-1704808053304
STPT(10)	2972576810649778247	0 2 24 26 42 44 60 62 84 86	-1607001569430
SPT(16)	2972577304343267839	0 10 30 40 58 72 78 82 138 142 148 162 180 190 210 220	-1113308079838
SPT(16)	2972577404452322287	0 24 40 52 66 90 102 126 220 244 256 280 294 306 322 346	-1013199025390
SPT(16)	2972577653183139853	0 10 18 40 78 88 96 126 190 220 228 238 276 298 306 316	-764468207824
STPT(10)	2972577875583667397	0 2 12 14 72 74 132 134 144 146	-542067680280
SPT(16)	2972578544184373283	0 26 68 74 84 90 104 108 176 180 194 200 210 216 258 284	126533025606
STPT(10)	2972578756799345987	0 2 42 44 72 74 102 104 144 146	339147998310
STPT(10)	2972578794195088607	0 2 12 14 42 44 72 74 84 86	376543740930
SPT(16)	2972578815268333633	0 10 18 60 96 108 118 138 208 228 238 250 286 328 336 346	397616985956
SPT(16)	2972578908384476393	0 56 66 80 84 104 114 146 234 266 276 296 300 314 324 380	490733128716