Prime p₀= 729365565925307369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Theadalus
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	729364446936763331	0 2 26 92 152 182 192 212 246 266 276 306 366 432 456 458	-1118988544038
SPT(16)	729364461193544551	0 12 18 22 40 72 78 88 180 190 196 228 246 250 256 268	-1104731762818
SPT(16)	729364495818947713	0 18 30 36 88 96 106 130 324 348 358 366 418 424 436 454	-1070106359656
STPT(10)	729364622905451681	0 2 36 38 78 80 120 122 156 158	-943019855688
SPT(16)	729365436851995721	0 26 32 38 42 56 68 116 192 240 252 266 270 276 282 308	-129073311648
STPT(10)	729365545836550877	0 2 42 44 72 74 102 104 144 146	-20088756492
SPT(16)	729365583975153077	0 44 56 66 72 80 84 122 144 182 186 194 200 210 222 266	18049845708
SPT(16)	729365703853824029	0 44 54 68 90 108 170 210 212 252 314 332 354 368 378 422	137928516660
SPT(16)	729365985065445361	0 76 88 126 130 148 208 216 322 330 390 408 412 450 462 538	419140137992
STPT(10)	729366324836449709	0 2 12 14 90 92 168 170 180 182	758911142340
SPT(16)	729366346857366193	0 6 24 48 54 96 138 160 174 196 238 280 286 310 328 334	780932058824