Prime p₀= 2589596869695653297 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2589595355132834999	0 2 18 20 30 32 42 44 60 62	-1514562818298
STPT(10)	2589595817302500659	0 2 72 74 120 122 168 170 240 242	-1052393152638
SPT(16)	2589595935891449077	0 6 52 90 136 150 172 202 204 234 256 270 316 354 400 406	-933804204220
SPT(16)	2589596378934359503	0 18 48 66 106 114 118 130 174 186 190 198 238 256 286 304	-490761293794
SPT(16)	2589596516629164769	0 58 60 72 88 90 132 178 192 238 280 282 298 310 312 370	-353066488528
SPT(16)	2589596683287268661	0 12 42 56 86 116 122 158 180 216 222 252 282 296 326 338	-186408384636
SPT(18)	2589596912920391567	0 26 50 102 110 140 162 174 176 180 182 194 216 246 254 306 330 356	43224738270
STPT(10)	2589597119339103371	0 2 36 38 78 80 120 122 156 158	249643450074
SPT(16)	2589597129478549319	0 54 62 122 128 132 224 254 258 288 380 384 390 450 458 512	259782896022
SPT(16)	2589597363184361791	0 52 66 76 88 130 136 178 270 312 318 360 372 382 396 448	493488708494
SPT(16)	2589597659915954717	0 2 32 42 72 122 144 156 170 182 204 254 284 294 324 326	790220301420