Prime p₀= 2362536867991675127 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2362535237730504593	0 50 56 66 80 86 138 206 240 308 360 366 380 390 396 446	-1630261170534
SPT(16)	2362535599858340497	0 10 30 64 70 84 90 112 114 136 142 156 162 196 216 226	-1268133334630
STPT(10)	2362535954822419499	0 2 12 14 30 32 48 50 60 62	-913169255628
SPT(16)	2362536047163783761	0 2 12 26 50 56 90 96 176 182 216 222 246 260 270 272	-820827891366
SPT(16)	2362536375609774313	0 4 6 10 48 66 70 94 120 144 148 166 204 208 210 214	-492381900814
STPT(10)	2362536619526497259	0 2 18 20 30 32 42 44 60 62	-248465177868
SPT(16)	2362536919713432701	0 2 12 26 32 42 116 158 180 222 296 306 312 326 336 338	51721757574
SPT(16)	2362537105137717611	0 12 48 60 98 120 158 182 228 252 290 312 350 362 398 410	237146042484
STPT(10)	2362537249912288037	0 2 30 32 42 44 54 56 84 86	381920612910
STPT(10)	2362537414558960547	0 2 30 32 42 44 54 56 84 86	546567285420
STPT(10)	2362537684727435387	0 2 42 44 72 74 102 104 144 146	816735760260