Prime p₀= 2806594860513728699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2806593021644973751	0 16 22 66 88 102 106 108 190 192 196 210 232 276 282 298	-1838868754948
TPT(14)	2806593255160200731	0 2 30 32 66 68 78 80 156 158 168 170 198 200	-1605353527968
SPT(16)	2806593338527661197	0 22 34 84 130 154 162 240 256 334 342 366 412 462 474 496	-1521986067502
STPT(10)	2806594105190317217	0 2 12 14 42 44 72 74 84 86	-755323411482
SPT(16)	2806594108590629729	0 8 14 50 78 84 110 120 128 138 164 170 198 234 240 248	-751923098970
STPT(10)	2806594538136172097	0 2 30 32 72 74 114 116 144 146	-322377556602
STPT(10)	2806595069698118969	0 2 48 50 90 92 132 134 180 182	209184390270
SPT(16)	2806595097426803219	0 42 54 98 104 108 180 218 264 302 374 378 384 428 440 482	236913074520
SPT(16)	2806595210691956197	0 10 64 72 100 106 112 150 166 204 210 216 244 252 306 316	350178227498
TPT(16)	2806595530697140577	0 2 24 26 90 92 132 134 174 176 192 194 222 224 330 332	670183411878
SPT(16)	2806595562909112867	0 6 46 72 84 90 102 114 142 154 166 172 184 210 250 256	702395384168