Prime p₀= 1058546654199988571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

STPT(12)	1058544641992900169	0 2 30 32 72 74 90 92 132 134 162 164	-2012207088402
SPT(16)	1058544850717552069	0 18 34 48 102 130 148 154 258 264 282 310 364 378 394 412	-1803482436502
SPT(16)	1058546028863545291	0 12 40 72 82 156 166 172 180 186 196 270 280 312 340 352	-625336443280
SPT(16)	1058546057372264431	0 12 22 60 66 70 136 166 192 222 288 292 298 336 346 358	-596827724140
STPT(10)	1058546373368183639	0 2 18 20 30 32 42 44 60 62	-280831804932
SPT(16)	1058546412791774551	0 10 36 40 66 106 120 150 166 196 210 250 276 280 306 316	-241408214020
SPT(16)	1058547393423864793	0 54 100 138 144 148 166 196 198 228 246 250 256 294 340 394	739223876222
SPT(16)	1058547864217822123	0 48 78 90 124 178 216 220 234 238 276 330 364 376 406 454	1210017833552
SPT(16)	1058547986300156701	0 12 66 76 90 112 126 136 156 166 180 202 216 226 280 292	1332100168130
SPT(16)	1058548155135169711	0 52 70 96 106 108 130 136 162 168 190 192 202 228 246 298	1500935181140
TPT(14)	1058548165969848329	0 2 12 14 150 152 240 242 252 254 282 284 360 362	1511769859758