Prime p₀= 411946595850210527 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: L@MiR
db: batch=70, k=10, 2 10 2 28 2

SPT(14)	411946513420265671	0 12 40 42 46 70 96 172 198 222 226 228 256 268	-82429944856
SPT(14)	411946515169332083	0 20 44 78 90 120 128 180 188 218 230 264 288 308	-80680878444
SPT(14)	411946529167343839	0 12 84 100 120 142 172 180 210 232 252 268 340 352	-66682866688
SPT(14)	411946535637402877	0 82 100 196 244 264 282 304 322 342 390 486 504 586	-60212807650
TPT(12)	411946554378527681	0 2 30 32 36 38 60 62 78 80 270 272	-41471682846
TPT(12)	411946589472284297	0 2 30 32 54 56 252 254 264 266 300 302	-6377926230
SPT(14)	411946599539112167	0 36 56 62 90 122 134 192 204 236 264 270 290 326	3688901640
SPT(14)	411946600205233349	0 2 14 44 50 84 90 92 98 132 138 168 180 182	4355022822
TPT(12)	411946614387822251	0 2 36 38 150 152 168 170 180 182 210 212	18537611724
SPT(14)	411946623374919247	0 6 42 46 52 66 72 130 136 150 156 160 196 202	27524708720
SPT(16)	411946635307824271	0 28 30 48 102 196 222 256 282 316 342 436 490 508 510 538	39457613744