Prime p₀= 826059644633589407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: schoussi
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	826058223021554399	0 2 30 32 60 62 90 92 120 122	-1421612035008
SPT(16)	826058273556729593	0 14 90 98 116 134 144 158 186 200 210 228 246 254 330 344	-1371076859814
SPT(16)	826058328421394273	0 14 38 56 74 78 144 170 204 230 296 300 318 336 360 374	-1316212195134
STPT(10)	826058755517912039	0 2 48 50 90 92 132 134 180 182	-889115677368
STPT(10)	826059030117281921	0 2 36 38 78 80 120 122 156 158	-614516307486
STPT(10)	826059606702496679	0 2 42 44 60 62 78 80 120 122	-37931092728
SPT(16)	826059690994370257	0 6 12 36 46 90 112 124 132 144 166 210 220 244 250 256	46360780850
SPT(16)	826059803344522693	0 4 6 60 64 70 88 130 174 216 234 240 244 298 300 304	158710933286
SPT(16)	826060144544579537	0 24 50 80 92 120 132 152 162 182 194 222 234 264 290 314	499910990130
SPT(18)	826060172622627821	0 20 62 98 110 156 162 170 186 212 228 236 242 288 300 336 378 398	527989038414
STPT(10)	826060403759685737	0 2 24 26 42 44 60 62 84 86	759126096330