Prime p₀= 2592681971306786699 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2592679943774871911	0 2 6 8 48 50 78 80 198 200 330 332 420 422	-2027531914788
SPT(16)	2592680201553075133	0 54 84 90 114 156 180 198 216 234 258 300 324 330 360 414	-1769753711566
SPT(16)	2592680421326838197	0 6 14 20 90 102 104 134 192 222 224 236 306 312 320 326	-1549979948502
SPT(18)	2592681632716565021	0 2 62 90 150 192 212 218 228 230 240 246 266 308 368 396 456 458	-338590221678
STPT(10)	2592681761556395651	0 2 6 8 18 20 30 32 36 38	-209750391048
SPT(16)	2592681859506621329	0 12 14 98 170 182 212 222 230 240 270 282 354 438 440 452	-111800165370
SPT(16)	2592682064357746187	0 32 50 56 60 66 80 92 144 156 170 176 180 186 204 236	93050959488
TPT(14)	2592682081496259479	0 2 18 20 42 44 138 140 180 182 210 212 420 422	110189472780
SPT(16)	2592682306158747079	0 28 72 84 114 132 144 180 202 238 250 268 298 310 354 382	334851960380
SPT(16)	2592682621337783617	0 34 40 54 126 136 154 166 264 276 294 304 376 390 396 430	650030996918
SPT(16)	2592682729515373939	0 22 120 132 148 160 162 168 244 250 252 264 280 292 390 412	758208587240