Prime p₀= 726871953557589407 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: crashtech
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	726870596508412133	0 8 26 38 50 56 68 78 86 96 108 114 126 138 156 164	-1357049177274
TPT(14)	726870666644143949	0 2 102 104 168 170 198 200 228 230 408 410 462 464	-1286913445458
STPT(10)	726870691661250341	0 2 6 8 18 20 30 32 36 38	-1261896339066
STPT(10)	726871071343130897	0 2 30 32 42 44 54 56 84 86	-882214458510
SPT(16)	726871225444758971	0 20 30 42 68 78 110 152 156 198 230 240 266 278 288 308	-728112830436
TPT(16)	726871555480119857	0 2 12 14 120 122 150 152 210 212 234 236 252 254 300 302	-398077469550
STPT(10)	726872052513162329	0 2 12 14 90 92 168 170 180 182	98955572922
SPT(16)	726872244116876303	0 6 50 68 84 110 116 186 218 288 294 320 336 354 398 404	290559286896
SPT(16)	726872668147606427	0 12 54 102 140 146 210 234 272 296 360 366 404 452 494 506	714590017020
SPT(16)	726872677523129119	0 34 42 52 72 78 90 108 124 142 154 160 180 190 198 232	723965539712
SPT(16)	726872833617746047	0 70 100 114 124 126 154 190 240 276 304 306 316 330 360 430	880060156640