Prime p₀= 3064963776381117431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: L@MiR
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3064962843081473861	0 2 20 30 102 158 200 206 252 258 300 356 428 438 456 458	-933299643570
SPT(16)	3064963131723486121	0 6 18 52 60 76 88 108 130 150 162 178 186 220 232 238	-644657631310
STPT(10)	3064963270557860027	0 2 42 44 72 74 102 104 144 146	-505823257404
SPT(16)	3064963347398461837	0 42 70 76 82 126 132 180 202 250 256 300 306 312 340 382	-428982655594
TPT(16)	3064963391703677669	0 2 132 134 240 242 252 254 258 260 270 272 372 374 408 410	-384677439762
SPT(16)	3064963602991062347	0 14 42 56 80 84 92 102 134 144 152 156 180 194 222 236	-173390055084
SPT(16)	3064963830067185097	0 24 52 102 106 112 120 130 216 226 234 240 244 294 322 346	53686067666
SPT(16)	3064964092712021641	0 10 72 138 142 168 180 192 196 208 220 246 250 316 378 388	316330904210
SPT(16)	3064964653082532839	0 2 30 80 108 134 198 210 212 224 288 314 342 392 420 422	876701415408
TPT(14)	3064964829949483709	0 2 48 50 120 122 150 152 288 290 318 320 360 362	1053568366278
STPT(10)	3064965040040183207	0 2 42 44 72 74 102 104 144 146	1263659065776