Prime p₀= 2167615398437288687 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: JayPi
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2167613595118389311	0 50 60 90 92 116 122 150 158 186 192 216 218 248 258 308	-1803318899376
SPT(16)	2167614339461918453	0 36 78 86 96 138 156 168 236 248 266 308 318 326 368 404	-1058975370234
SPT(16)	2167614378965267647	0 10 42 70 72 120 156 246 310 400 436 484 486 514 546 556	-1019472021040
STPT(10)	2167614445783285517	0 2 42 44 72 74 102 104 144 146	-952654003170
STPT(10)	2167614482260912427	0 2 30 32 42 44 54 56 84 86	-916176376260
STPT(10)	2167614827939575517	0 2 24 26 42 44 60 62 84 86	-570497713170
TPT(14)	2167615486627995317	0 2 60 62 90 92 114 116 144 146 174 176 210 212	88190706630
STPT(10)	2167615951543482287	0 2 12 14 42 44 72 74 84 86	553106193600
SPT(16)	2167616140147290403	0 4 16 30 46 58 64 70 114 120 126 138 154 168 180 184	741710001716
TPT(14)	2167616188712669081	0 2 6 8 90 92 168 170 186 188 210 212 246 248	790275380394
SPT(16)	2167616255001250489	0 34 60 64 78 94 100 150 238 288 294 310 324 328 354 388	856563961802