Prime p₀= 870005416354568309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 16 2

TPT(14)	870004291182699779	0 2 12 14 72 74 78 80 138 140 162 164 192 194	-1125171868530
STPT(10)	870004846323126329	0 2 12 14 30 32 48 50 60 62	-570031441980
SPT(16)	870004895500772599	0 22 100 142 178 190 210 288 304 382 402 414 450 492 570 592	-520853795710
STPT(10)	870005028419075399	0 2 12 14 90 92 168 170 180 182	-387935492910
SPT(16)	870005080820474107	0 36 42 54 84 106 112 124 132 144 150 172 202 214 220 256	-335534094202
SPT(16)	870005194766633213	0 36 38 56 96 114 126 200 204 278 290 308 348 366 368 404	-221587935096
SPT(16)	870006069393067273	0 6 28 46 66 88 118 144 160 186 216 238 258 276 298 304	653038498964
STPT(10)	870006076650493631	0 2 36 38 78 80 120 122 156 158	660295925322
TPT(14)	870006261730323689	0 2 30 32 102 104 108 110 138 140 180 182 228 230	845375755380
SPT(16)	870006324865711741	0 100 130 136 162 186 198 246 262 310 322 346 372 378 408 508	908511143432
STPT(10)	870006334711689359	0 2 18 20 30 32 42 44 60 62	918357121050