Prime p₀= 585651578462487149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: scrap
db: batch=71, k=10, 2 16 2 10 2

SPT(14)	585651521017486757	0 42 44 60 120 122 144 302 324 326 386 402 404 446	-57445000392
SPT(14)	585651527389812361	0 22 102 106 126 130 132 256 258 262 282 286 366 388	-51072674788
SPT(14)	585651530741250517	0 36 42 46 60 82 96 136 150 172 186 190 196 232	-47721236632
TPT(12)	585651559458037139	0 2 60 62 90 92 222 224 240 242 300 302	-19004450010
SPT(14)	585651575870410481	0 20 26 42 48 56 78 80 102 110 116 132 138 158	-2592076668
SPT(14)	585651576113283283	0 18 28 30 48 58 118 156 216 226 244 246 256 274	-2349203866
TPT(12)	585651578462487149	0 2 18 20 30 32 42 44 60 62 72 74	0
SPT(14)	585651581644947151	0 70 78 88 120 148 166 210 228 256 288 298 306 376	3182460002
SPT(14)	585651604672743613	0 64 70 90 118 120 168 196 244 246 274 294 300 364	26210256464
SPT(14)	585651631126149541	0 30 52 72 142 160 178 192 210 228 298 318 340 370	52663662392
SPT(14)	585651634012626197	0 20 30 32 42 56 102 104 150 164 174 176 186 206	55550139048