Prime p₀= 2596458933015555659 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2596457767492434917	0 2 30 32 42 44 54 56 84 86	-1165523120742
STPT(10)	2596458277929813371	0 2 6 8 48 50 90 92 96 98	-655085742288
STPT(10)	2596458474731013437	0 2 30 32 42 44 54 56 84 86	-458284542222
TPT(14)	2596458747390723557	0 2 60 62 102 104 144 146 210 212 234 236 240 242	-185624832102
SPT(16)	2596458839644366391	0 6 18 48 56 90 120 122 126 128 158 192 200 230 242 248	-93371189268
STPT(10)	2596458887659543691	0 2 36 38 78 80 120 122 156 158	-45356011968
SPT(16)	2596459034542112251	0 30 40 42 66 72 102 108 130 136 166 172 196 198 208 238	101526556592
STPT(10)	2596459086801987131	0 2 6 8 48 50 90 92 96 98	153786431472
STPT(10)	2596459109660637017	0 2 30 32 42 44 54 56 84 86	176645081358
STPT(10)	2596459312202626901	0 2 30 32 60 62 90 92 120 122	379187071242
TPT(14)	2596459580361689489	0 2 12 14 18 20 30 32 150 152 198 200 252 254	647346133830