Prime p₀= 2338725725946673499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(13)	2338723601622319469	0 42 90 132 174 180 192 204 210 252 294 342 384	-2124324354030
STPT(10)	2338724035429617359	0 2 18 20 30 32 42 44 60 62	-1690517056140
STPT(10)	2338724401850493791	0 2 36 38 78 80 120 122 156 158	-1324096179708
SPT(16)	2338724571956986021	0 12 22 46 96 100 130 156 172 198 228 232 282 306 316 328	-1153989687478
SPT(16)	2338725050462666267	0 24 54 84 150 216 234 254 276 296 314 380 446 476 506 530	-675484007232
STPT(10)	2338725646834271879	0 2 30 32 60 62 90 92 120 122	-79112401620
STPT(10)	2338726046066463827	0 2 12 14 72 74 132 134 144 146	320119790328
STPT(10)	2338726180261756037	0 2 30 32 42 44 54 56 84 86	454315082538
STPT(10)	2338726560821241431	0 2 36 38 78 80 120 122 156 158	834874567932
SPT(16)	2338726577391228533	0 14 18 78 108 116 120 174 260 314 318 326 356 416 420 434	851444555034
SPT(16)	2338726759427957383	0 16 46 70 78 118 148 156 160 168 198 238 246 270 300 316	1033481283884