Prime p₀= 2125078377197964257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=80, k=10, 2 22 2 16 2

SPT(16)	2125077320440524941	0 56 78 80 98 150 168 176 240 248 266 318 336 338 360 416	-1056757439316
SPT(16)	2125077343683036931	0 30 82 88 136 156 172 210 238 276 292 312 360 366 418 448	-1033514927326
STPT(10)	2125077423042045737	0 2 42 44 72 74 102 104 144 146	-954155918520
SPT(16)	2125077448331565293	0 24 44 48 96 104 108 126 128 146 150 158 206 210 230 254	-928866398964
SPT(16)	2125077649880956273	0 114 126 144 156 174 180 184 240 244 250 268 280 298 310 424	-727317007984
STPT(10)	2125077777391273877	0 2 12 14 42 44 72 74 84 86	-599806690380
SPT(16)	2125079383914683783	0 6 20 54 104 108 126 138 236 248 266 270 320 354 368 374	1006716719526
STPT(10)	2125079603836526327	0 2 12 14 42 44 72 74 84 86	1226638562070
STPT(10)	2125079870229395501	0 2 36 38 78 80 120 122 156 158	1493031431244
STPT(10)	2125080021641401577	0 2 30 32 42 44 54 56 84 86	1644443437320
STPT(10)	2125080477680479139	0 2 42 44 60 62 78 80 120 122	2100482514882