Prime p₀= 820119115805101727 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: declis
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	820116522166740823	0 10 40 66 76 100 156 166 168 178 234 258 268 294 324 334	-2593638360904
SPT(16)	820116619209030491	0 20 38 50 60 66 80 102 206 228 242 248 258 270 288 308	-2496596071236
SPT(16)	820117430772123859	0 4 42 82 88 148 174 180 232 238 264 324 330 370 408 412	-1685032977868
SPT(16)	820117500638372669	0 12 14 18 62 110 150 200 252 302 342 390 434 438 440 452	-1615166729058
SPT(16)	820118598708237133	0 4 6 16 30 34 54 64 96 106 126 130 144 154 156 160	-517096864594
SPT(16)	820118740855817321	0 2 20 62 102 162 176 198 230 252 266 326 366 408 426 428	-374949284406
SPT(16)	820119174427808317	0 30 72 112 124 142 150 166 210 226 234 252 264 304 346 376	58622706590
STPT(12)	820119282356608721	0 2 48 50 60 62 156 158 168 170 216 218	166551506994
SPT(16)	820119320850765899	0 32 42 54 122 134 138 152 300 314 318 330 398 410 420 452	205045664172
SPT(16)	820119586797405023	0 56 68 78 84 90 98 138 176 216 224 230 236 246 258 314	470992303296
SPT(18)	820119590277427259	0 2 44 50 54 78 110 120 152 180 212 222 254 278 282 288 330 332	474472325532