Prime p₀= 846296143295999519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: ChelseaOilman
db: batch=73, k=10, 2 10 2 16 2

SPT(16)	846294634949902877	0 26 44 60 62 72 102 156 170 224 254 264 266 282 300 326	-1508346096642
SPT(16)	846294687301458371	0 12 20 26 36 92 162 228 260 326 396 452 462 468 476 488	-1455994541148
SPT(16)	846294697658663261	0 8 30 66 68 92 98 108 140 150 156 180 182 218 240 248	-1445637336258
SPT(16)	846294927028520839	0 4 22 34 52 64 88 112 150 174 198 210 228 240 258 262	-1216267478680
STPT(10)	846295401681909371	0 2 90 92 108 110 126 128 216 218	-741614090148
SPT(18)	846295851853894433	0 14 54 80 90 116 134 144 150 260 266 276 294 320 330 356 396 410	-291442105086
SPT(18)	846296282072878991	0 6 56 68 98 102 180 216 278 300 362 398 476 480 510 522 572 578	138776879472
SPT(16)	846296618581621573	0 34 36 60 70 84 94 148 156 210 220 234 244 268 270 304	475285622054
STPT(10)	846296694286285547	0 2 30 32 42 44 54 56 84 86	550990286028
STPT(10)	846296727662347601	0 2 6 8 48 50 90 92 96 98	584366348082
SPT(16)	846296831361755911	0 16 18 40 90 120 142 156 172 186 208 238 288 310 312 328	688065756392