Prime p₀= 2713759622557440599 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: fzs600
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2713758893736479759	0 2 18 20 30 32 42 44 60 62	-728820960840
STPT(10)	2713759181866291589	0 2 18 20 30 32 42 44 60 62	-440691149010
SPT(18)	2713759453064724931	0 16 40 52 72 76 100 118 126 142 150 168 192 196 216 228 252 268	-169492715668
SPT(16)	2713759457292319621	0 12 22 28 42 52 142 148 210 216 306 316 330 336 346 358	-165265120978
SPT(16)	2713759470840537541	0 22 48 58 76 78 112 126 142 156 190 192 210 220 246 268	-151716903058
SPT(16)	2713759549417526143	0 4 28 88 120 160 178 226 288 336 354 394 426 486 510 514	-73139914456
TPT(14)	2713759741470261149	0 2 72 74 78 80 180 182 222 224 240 242 282 284	118912820550
STPT(10)	2713760201614084307	0 2 24 26 42 44 60 62 84 86	579056643708
STPT(10)	2713760399093080031	0 2 36 38 78 80 120 122 156 158	776535639432
STPT(10)	2713760633778172799	0 2 30 32 120 122 210 212 240 242	1011220732200
SPT(16)	2713760931468674389	0 60 70 112 142 198 214 222 280 288 304 360 390 432 442 502	1308911233790