Prime p₀= 2611591793534878127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Time_Traveler
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2611588883841415909	0 22 30 48 58 70 78 90 100 112 120 132 142 160 168 190	-2909693462218
STPT(10)	2611590086328694481	0 2 6 8 48 50 90 92 96 98	-1707206183646
SPT(16)	2611590201482131291	0 30 66 70 148 162 168 190 288 310 316 330 408 412 448 478	-1592052746836
SPT(16)	2611590459624628121	0 26 38 80 96 120 168 176 180 188 236 260 276 318 330 356	-1333910250006
SPT(16)	2611591344850848271	0 22 42 46 70 90 108 112 126 130 148 168 192 196 216 238	-448684029856
SPT(16)	2611591678708563191	0 18 56 68 98 102 170 180 188 198 266 270 300 312 350 368	-114826314936
STPT(12)	2611592133738493331	0 2 18 20 30 32 96 98 108 110 126 128	340203615204
SPT(16)	2611593089358565181	0 48 56 60 72 126 212 218 240 246 332 386 398 402 410 458	1295823687054
SPT(16)	2611593379417403531	0 2 8 38 62 68 120 122 138 140 192 198 222 252 258 260	1585882525404
STPT(10)	2611593771487345217	0 2 60 62 72 74 84 86 144 146	1977952467090
TPT(14)	2611594088510726519	0 2 48 50 90 92 210 212 228 230 252 254 300 302	2294975848392