Prime p₀= 2589595355132834999 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: fzs600
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2589593909079007319	0 2 30 32 60 62 102 104 192 194 228 230 282 284	-1446053827680
STPT(10)	2589593985921236027	0 2 24 26 42 44 60 62 84 86	-1369211598972
SPT(16)	2589594269202591311	0 56 62 66 108 138 146 188 300 342 350 380 422 426 432 488	-1085930243688
SPT(16)	2589594412364737681	0 30 36 106 150 186 190 192 226 228 232 268 312 382 388 418	-942768097318
SPT(16)	2589594551284235353	0 18 24 60 94 108 118 144 244 270 280 294 328 364 370 388	-803848599646
SPT(16)	2589595105926518699	0 8 32 72 92 140 182 230 270 318 360 408 428 468 492 500	-249206316300
STPT(10)	2589595817302500659	0 2 72 74 120 122 168 170 240 242	462169665660
SPT(16)	2589595935891449077	0 6 52 90 136 150 172 202 204 234 256 270 316 354 400 406	580758614078
SPT(16)	2589596378934359503	0 18 48 66 106 114 118 130 174 186 190 198 238 256 286 304	1023801524504
SPT(16)	2589596516629164769	0 58 60 72 88 90 132 178 192 238 280 282 298 310 312 370	1161496329770
SPT(16)	2589596683287268661	0 12 42 56 86 116 122 158 180 216 222 252 282 296 326 338	1328154433662