Prime p₀= 2561589698109595799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2561588154904055803	0 54 64 66 84 96 100 138 166 204 208 220 238 240 250 304	-1543205539996
STPT(10)	2561588273993504051	0 2 6 8 18 20 30 32 36 38	-1424116091748
STPT(10)	2561588291219234549	0 2 18 20 30 32 42 44 60 62	-1406890361250
SPT(16)	2561589134991071971	0 42 52 60 102 130 142 192 238 288 300 328 370 378 388 430	-563118523828
STPT(12)	2561589206500500389	0 2 12 14 42 44 48 50 78 80 90 92	-491609095410
SPT(16)	2561589496570680553	0 54 70 84 96 108 126 136 168 178 196 208 220 234 250 304	-201538915246
STPT(10)	2561589699807351077	0 2 12 14 72 74 132 134 144 146	1697755278
SPT(16)	2561589745563232607	0 12 32 84 150 200 210 212 252 254 264 314 380 432 452 464	47453636808
SPT(16)	2561589771118646503	0 46 54 78 96 100 114 118 126 130 144 148 166 190 198 244	73009050704
STPT(10)	2561589788439813161	0 2 30 32 60 62 90 92 120 122	90330217362
TPT(14)	2561589828908796659	0 2 42 44 78 80 108 110 180 182 198 200 240 242	130799200860