Prime p₀= 2965799209386337991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2965797873786401231	0 6 30 50 56 90 92 110 162 180 182 216 222 242 266 272	-1335599936760
SPT(16)	2965797901233292033	0 18 46 58 88 100 108 178 186 256 264 276 306 318 346 364	-1308153045958
SPT(16)	2965798001178655957	0 12 52 72 84 90 94 150 184 240 244 250 262 282 322 334	-1208207682034
SPT(16)	2965798045442615927	0 26 60 84 134 152 164 186 200 222 234 252 302 326 360 386	-1163943722064
STPT(10)	2965798695150445241	0 2 6 8 48 50 90 92 96 98	-514235892750
SPT(16)	2965798884544077983	0 48 84 86 90 104 164 198 326 360 420 434 438 440 476 524	-324842260008
STPT(10)	2965799443263077957	0 2 30 32 42 44 54 56 84 86	233876739966
STPT(10)	2965799444098514687	0 2 42 44 72 74 102 104 144 146	234712176696
STPT(10)	2965799947847517491	0 2 96 98 198 200 300 302 396 398	738461179500
SPT(16)	2965800422511385423	0 16 28 30 76 84 96 108 226 238 250 258 304 306 318 334	1213125047432
STPT(10)	2965800617099504927	0 2 30 32 42 44 54 56 84 86	1407713166936