Prime p₀= 2597719071474003749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2597717891144284261	0 16 22 40 52 96 100 196 246 342 346 390 402 420 426 442	-1180329719488
STPT(10)	2597717933381341229	0 2 18 20 30 32 42 44 60 62	-1138092662520
STPT(10)	2597718086868667967	0 2 12 14 42 44 72 74 84 86	-984605335782
SPT(16)	2597718091144370503	0 66 78 108 114 124 126 136 168 178 180 190 196 226 238 304	-980329633246
SPT(16)	2597718209667732187	0 24 72 82 136 142 150 156 190 196 204 210 264 274 322 346	-861806271562
SPT(16)	2597718514641917857	0 4 66 126 142 172 186 192 214 220 234 264 280 340 402 406	-556832085892
TPT(14)	2597719115586227327	0 2 102 104 120 122 132 134 210 212 312 314 324 326	44112223578
STPT(10)	2597719153229517671	0 2 6 8 48 50 90 92 96 98	81755513922
STPT(10)	2597719257452022791	0 2 6 8 48 50 90 92 96 98	185978019042
SPT(16)	2597719424684148937	0 16 40 42 112 154 156 204 292 340 342 384 454 456 480 496	353210145188
SPT(16)	2597721047704087091	0 12 62 72 120 140 150 182 246 278 288 308 356 366 416 428	1976230083342