Prime p₀= 2259370549089415649 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: eclipse99
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2259369570589812449	0 2 18 20 30 32 138 140 150 152 168 170	-978499603200
SPT(16)	2259369797681457763	0 4 16 30 84 100 126 156 178 208 234 250 304 318 330 334	-751407957886
STPT(10)	2259369812327320037	0 2 42 44 72 74 102 104 144 146	-736762095612
SPT(16)	2259369942279554359	0 40 58 78 84 138 150 168 190 208 220 274 280 300 318 358	-606809861290
SPT(16)	2259370351006704041	0 8 56 60 68 96 108 126 152 170 182 210 218 222 270 278	-198082711608
STPT(12)	2259370415566225187	0 2 30 32 42 44 132 134 144 146 174 176	-133523190462
SPT(16)	2259370853608909567	0 10 22 30 42 52 106 112 114 120 174 184 196 204 216 226	304519493918
SPT(16)	2259370907802311993	0 44 54 74 84 96 110 140 144 174 188 200 210 230 240 284	358712896344
TPT(14)	2259371051951876771	0 2 60 62 126 128 138 140 228 230 240 242 270 272	502862461122
STPT(10)	2259371064540389879	0 2 48 50 60 62 72 74 120 122	515450974230
SPT(16)	2259371202216013937	0 86 126 140 200 234 254 302 324 372 392 426 486 500 540 626	653126598288