Prime p₀= 2999247660687253271 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)	2999245999374898943	0 50 66 80 98 120 140 150 164 174 194 216 234 248 264 314	-1661312354328
STPT(10)	2999246497062646079	0 2 18 20 30 32 42 44 60 62	-1163624607192
STPT(10)	2999246547231914801	0 2 6 8 48 50 90 92 96 98	-1113455338470
TPT(14)	2999246579793207857	0 2 24 26 84 86 222 224 234 236 282 284 330 332	-1080894045414
SPT(16)	2999247377500683259	0 30 48 100 108 124 132 174 178 220 228 244 252 304 322 352	-283186570012
SPT(16)	2999247454443406031	0 38 48 152 180 182 188 192 206 210 216 218 246 350 360 398	-206243847240
SPT(16)	2999248143594238721	0 12 20 128 132 168 206 212 276 282 320 356 360 468 476 488	482906985450
STPT(10)	2999248202374943537	0 2 42 44 72 74 102 104 144 146	541687690266
SPT(16)	2999248438929610201	0 6 10 28 46 76 136 168 178 210 270 300 318 336 340 346	778242356930
SPT(16)	2999248527745107371	0 12 30 32 38 110 158 170 180 192 240 312 318 320 338 350	867057854100
STPT(10)	2999248753788971729	0 2 48 50 90 92 132 134 180 182	1093101718458