Prime p₀= 2458915372083036407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2458914417340723259	0 8 92 134 140 144 168 192 260 284 308 312 318 360 444 452	-954742313148
STPT(10)	2458914602561974829	0 2 18 20 30 32 42 44 60 62	-769521061578
SPT(16)	2458914702063252149	0 2 8 14 68 78 138 182 210 254 314 324 378 384 390 392	-670019784258
STPT(10)	2458914747409102817	0 2 30 32 102 104 174 176 204 206	-624673933590
STPT(10)	2458915179916281599	0 2 42 44 60 62 78 80 120 122	-192166754808
SPT(16)	2458915196517617489	0 108 122 164 170 194 264 282 290 308 378 402 408 450 464 572	-175565418918
SPT(16)	2458915475212344059	0 2 42 72 80 98 114 132 140 158 174 192 200 230 270 272	103129307652
TPT(14)	2458915815713297987	0 2 12 14 72 74 102 104 114 116 144 146 252 254	443630261580
STPT(10)	2458915885329406427	0 2 12 14 42 44 72 74 84 86	513246370020
SPT(16)	2458915942598142959	0 8 50 140 152 170 210 248 282 320 360 378 390 480 522 530	570515106552
SPT(16)	2458916211887272793	0 110 138 146 186 200 216 248 288 320 336 350 390 398 426 536	839804236386