Prime p₀= 2377458520305138029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 40 2 46 2

SPT(16)	2377457093880486041	0 8 12 20 36 68 92 146 162 216 240 272 288 296 300 308	-1426424651988
STPT(10)	2377457485218068567	0 2 30 32 72 74 114 116 144 146	-1035087069462
SPT(18)	2377457518607020189	0 40 90 118 130 148 168 174 190 222 238 244 264 282 294 322 372 412	-1001698117840
STPT(10)	2377457888177779619	0 2 42 44 60 62 78 80 120 122	-632127358410
STPT(10)	2377458288116249519	0 2 18 20 30 32 42 44 60 62	-232188888510
SPT(16)	2377458349945280863	0 34 48 66 100 108 154 178 216 240 286 294 328 346 360 394	-170359857166
SPT(16)	2377458954534553619	0 90 98 120 168 174 204 234 308 338 368 374 422 444 452 542	434229415590
STPT(10)	2377459012014697937	0 2 42 44 72 74 102 104 144 146	491709559908
STPT(10)	2377459062102997097	0 2 30 32 42 44 54 56 84 86	541797859068
STPT(10)	2377459076372888771	0 2 6 8 48 50 90 92 96 98	556067750742
SPT(16)	2377459195017155903	0 8 30 54 80 110 128 156 218 246 264 294 320 344 366 374	674712017874