Prime p₀= 2555185947867666611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Penguin
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2555184851271592931	0 30 80 108 152 200 206 252 296 342 348 396 440 468 518 548	-1096596073680
SPT(16)	2555184919078671953	0 56 66 90 104 110 164 234 236 306 360 366 380 404 414 470	-1028788994658
SPT(16)	2555185377221477911	0 16 22 58 70 78 82 88 120 126 130 138 150 186 192 208	-570646188700
STPT(10)	2555185469031724337	0 2 30 32 42 44 54 56 84 86	-478835942274
SPT(16)	2555185634133787141	0 12 78 88 120 130 148 196 222 270 288 298 330 340 406 418	-313733879470
SPT(16)	2555185759062048751	0 22 66 70 78 90 106 108 130 132 148 160 168 172 216 238	-188805617860
SPT(16)	2555186263276755491	0 18 32 92 116 138 152 180 188 216 230 252 276 336 350 368	315409088880
STPT(10)	2555186886144653609	0 2 30 32 60 62 90 92 120 122	938276986998
TPT(14)	2555187326359536641	0 2 36 38 48 50 66 68 78 80 246 248 300 302	1378491870030
SPT(16)	2555187430738245833	0 18 36 48 80 90 150 158 168 176 236 246 278 290 308 326	1482870579222
STPT(10)	2555187507428183657	0 2 12 14 42 44 72 74 84 86	1559560517046