Prime p₀= 1023216489725940077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: gemini8
db: batch=76, k=10, 2 10 2 28 2

TPT(14)	1023215729129194787	0 2 30 32 60 62 90 92 114 116 264 266 294 296	-760596745290
SPT(16)	1023215805631695223	0 36 88 106 130 136 168 186 220 238 270 276 300 318 370 406	-684094244854
SPT(16)	1023216029816695201	0 22 40 70 90 102 156 166 246 256 310 322 342 372 390 412	-459909244876
STPT(10)	1023216056655643727	0 2 30 32 60 62 90 92 120 122	-433070296350
STPT(10)	1023216157605922361	0 2 6 8 48 50 90 92 96 98	-332120017716
SPT(16)	1023216377608642309	0 82 120 138 208 214 274 312 400 438 498 504 574 592 630 712	-112117297768
STPT(10)	1023216519849874949	0 2 18 20 30 32 42 44 60 62	30123934872
STPT(10)	1023216704754730667	0 2 24 26 42 44 60 62 84 86	215028790590
SPT(16)	1023217060948834931	0 56 62 102 116 128 182 212 216 246 300 312 326 366 372 428	571222894854
SPT(16)	1023217197519492113	0 36 54 120 144 168 186 234 260 308 326 350 374 440 458 494	707793552036
SPT(16)	1023217587678796823	0 18 24 36 56 144 146 158 276 288 290 378 398 410 416 434	1097952856746