Prime p₀= 2427454769217863657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2427452746178148973	0 58 70 88 100 124 138 160 168 190 204 228 240 258 270 328	-2023039714684
SPT(16)	2427452764424944381	0 6 28 60 66 82 102 126 142 166 186 202 208 240 262 268	-2004792919276
SPT(16)	2427452842834551359	0 42 62 84 170 210 240 258 284 302 332 372 458 480 500 542	-1926383312298
SPT(16)	2427453473745885379	0 28 42 60 78 82 130 132 280 282 330 334 352 370 384 412	-1295471978278
SPT(16)	2427453595833002117	0 6 30 72 174 176 216 222 254 260 300 302 404 446 470 476	-1173384861540
SPT(16)	2427453929138300593	0 18 60 70 94 108 130 154 240 264 286 300 324 334 376 394	-840079563064
SPT(16)	2427454894499766629	0 14 38 42 68 80 122 182 210 270 312 324 350 354 378 392	125281902972
STPT(10)	2427454959333401351	0 2 6 8 48 50 90 92 96 98	190115537694
STPT(10)	2427454999717019639	0 2 12 14 90 92 168 170 180 182	230499155982
STPT(10)	2427455156428973789	0 2 18 20 30 32 42 44 60 62	387211110132
SPT(16)	2427455470398252169	0 22 24 30 72 102 252 288 304 340 490 520 562 568 570 592	701180388512